{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "8ccf096e",
      "metadata": {
        "id": "8ccf096e"
      },
      "source": [
        "# Building Complexity\n",
        "\n",
        "<a href=\"https://colab.research.google.com/github/lwa-project/bifrost/blob/master/tutorial/02_building_complexity.ipynb\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\"></a>\n",
        "\n",
        "The previous notebooks have shown how to work with data in Bifrost and highlighted several of its features.  We are now going to use that to build a more complete example of how data reduction can be done with Bifrost.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "%%capture install_log\n",
        "# Import bifrost, but attempt to auto-install if needed (and we're running on\n",
        "# Colab). If something goes wrong, evaluate install_log.show() in a new block\n",
        "# to retrieve the details.\n",
        "try:\n",
        "  import bifrost\n",
        "except ModuleNotFoundError:\n",
        "  try:\n",
        "    import google.colab\n",
        "    !sudo apt-get -qq install universal-ctags libopenblas-dev software-properties-common build-essential\n",
        "    !pip install -q contextlib2 pint simplejson scipy git+https://github.com/ctypesgen/ctypesgen.git\n",
        "    ![ -d ~/bifrost/.git ] || git clone https://github.com/lwa-project/bifrost ~/bifrost\n",
        "    !(cd ~/bifrost && ./configure && make -j all && sudo make install)\n",
        "    import bifrost\n",
        "  except ModuleNotFoundError:\n",
        "    print(\"Sorry, could not import bifrost and we're not on colab.\")"
      ],
      "metadata": {
        "id": "yMAWWv40Qn9w"
      },
      "id": "yMAWWv40Qn9w",
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's start by taking in a collection of time domain complex voltage data for 16 inputs, transforming it to the frequency domain, and creating integrated spectra.  First, we need a time domain signal:"
      ],
      "metadata": {
        "id": "gwCX2hrVQj7F"
      },
      "id": "gwCX2hrVQj7F"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "f785410a",
      "metadata": {
        "id": "f785410a",
        "outputId": "db9d1f13-b076-43e5-a0fc-e83feee878e9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "import numpy\n",
        "\n",
        "ninput = 16\n",
        "nchan = 256\n",
        "ntime = nchan*32\n",
        "\n",
        "def make_data(ntime, ninput):\n",
        "    time = numpy.arange(ntime) / 19.6e6\n",
        "    data = numpy.random.randn(ntime, ninput)\n",
        "    data = data + 1j*numpy.random.randn(ntime, ninput)\n",
        "\n",
        "    for freq,amp in ((-5e6,2), (3e6,3), (8e6,1)):\n",
        "        for i in range(ninput):\n",
        "            data[:,i] += amp*(1+i/ninput)*numpy.exp(2j*numpy.pi*freq*time)\n",
        "    data = data.astype(numpy.complex64)\n",
        "    return time, data\n",
        "\n",
        "t, data = make_data(ntime, ninput)\n",
        "\n",
        "import pylab\n",
        "fdata = numpy.fft.fft(data[:nchan], axis=0)\n",
        "freq = numpy.fft.fftfreq(fdata.shape[0], d=1/19.6e6)\n",
        "pylab.semilogy(freq/1e6, numpy.abs(fdata[:,ninput-1])**2,\n",
        "               label=str(ninput-1))\n",
        "pylab.semilogy(freq/1e6, numpy.abs(fdata[:,0])**2,\n",
        "              label='0')\n",
        "pylab.xlabel('Frequency [MHz]')\n",
        "pylab.ylabel('Power')\n",
        "pylab.legend(loc=0);"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "3867d3f8",
      "metadata": {
        "id": "3867d3f8"
      },
      "source": [
        "That seems to be working with a quick check of the data using `numpy.fft.fft` and we can even see the different tone amplitudes across the inputs.\n",
        "\n",
        "Now to translate this into Bifrost and do the integration in time:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "id": "a6b958da",
      "metadata": {
        "id": "a6b958da",
        "outputId": "1bdae1d9-4fac-4fa9-8272-b0224faaec38",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "data = bifrost.ndarray(data, space='cuda')\n",
        "data = data.reshape(-1,nchan,ninput)\n",
        "fdata = bifrost.ndarray(shape=data.shape, dtype=data.dtype, space='cuda')\n",
        "\n",
        "fft = bifrost.fft.Fft()\n",
        "fft.init(data, fdata, axes=1, apply_fftshift=True)\n",
        "fft.execute(data, fdata)\n",
        "\n",
        "spectra = bifrost.ndarray(shape=(1,nchan,ninput), dtype=numpy.float32,\n",
        "                          space='cuda')\n",
        "bifrost.reduce(fdata, spectra, 'pwrmean')\n",
        "\n",
        "spectra = spectra.copy(space='system')\n",
        "spectra = spectra[0,:,:]\n",
        "bf_freq = numpy.fft.fftshift(freq)\n",
        "pylab.semilogy(bf_freq/1e6, spectra[:,ninput-1],\n",
        "               label=str(ninput-1))\n",
        "pylab.semilogy(bf_freq/1e6, spectra[:,0],\n",
        "              label='0')\n",
        "pylab.xlabel('Frequency [MHz]')\n",
        "pylab.ylabel('Power')\n",
        "pylab.legend(loc=0);"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "f9a5fe2f",
      "metadata": {
        "id": "f9a5fe2f"
      },
      "source": [
        "This works for a single batch of data, what we call a \"gulp\" in Bifrost. How do we extend this for working on a continuous stream of data?  We can first start by wrapping everything in a `for` loop as a stand-in for continuous data:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "id": "366ab2a4",
      "metadata": {
        "id": "366ab2a4",
        "outputId": "3b43ad50-bf56-4e42-e7c9-67b8b0a76874",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "for gulp in range(5):\n",
        "    t, data_noise = make_data(ntime, ninput)\n",
        "    \n",
        "    data_gpu = bifrost.ndarray(data_noise, space='cuda')\n",
        "    data_gpu = data_gpu.reshape(-1,nchan,ninput)\n",
        "    fdata = bifrost.ndarray(shape=data_gpu.shape, dtype=data_gpu.dtype,\n",
        "                            space='cuda')\n",
        "    \n",
        "    fft = bifrost.fft.Fft()\n",
        "    fft.init(data_gpu, fdata, axes=1, apply_fftshift=True)\n",
        "    fft.execute(data_gpu, fdata)\n",
        "    \n",
        "    spectra = bifrost.ndarray(shape=(1,nchan,ninput), dtype=numpy.float32,\n",
        "                              space='cuda')\n",
        "    bifrost.reduce(fdata, spectra, 'pwrmean')\n",
        "\n",
        "    spectra = spectra.copy(space='system')\n",
        "    spectra = spectra[0,:,:]\n",
        "    freq = numpy.fft.fftfreq(nchan, d=1/19.6e6)\n",
        "    bf_freq = numpy.fft.fftshift(freq)\n",
        "    pylab.semilogy(bf_freq/1e6, spectra[:,ninput-1],\n",
        "                   label=f\"{ninput-1}@{gulp}\")\n",
        "    pylab.semilogy(bf_freq/1e6, spectra[:,0],\n",
        "                  label=f\"0@{gulp}\")\n",
        "pylab.xlabel('Frequency [MHz]')\n",
        "pylab.ylabel('Power')\n",
        "pylab.legend(loc=0);"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "e258984c",
      "metadata": {
        "id": "e258984c"
      },
      "source": [
        "That works but it is not very efficient.  For every gulp we are creating new arrays on both the CPU and GPU memories and creating new `bifrost.fft` instances.  One way to deal with this is to pre-initialize the data arrays and the FFT function, and then use `bifrost.ndarray.copy_array` to copy data:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "id": "cf2f6ec8",
      "metadata": {
        "id": "cf2f6ec8",
        "outputId": "caab2b3b-0833-4bc4-a468-1e7d8fb0d59e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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eKFHICmS3nILyFLKTAV2SevK//3fMj65s6+zAuOsY/oMfXHKfvXv3UlZWxtixYwFYtGgRW7ZswTRN5s+fz/Lly5P7XnPNNWzZsoXbbruNOXPmEAqF+Lu/+7sravMXpbWtK5GvwkfZQfd1Cq6jRCEbGdCikC4aGhoYOXJk8nlpaSl79uxh79697NmzhyNHjvDtb38bTdO44YYbWLRoEfPnz2fbtm3MmzcvjZb3JNLemnysRCE7cBPBAwcD6ahpe9nIgBaFy93RpxIpJSNHjkQIwWOPPcYLL7zAuHHjmDlzJvPmzaO8vJwPPvgg3Wb2IBbr6HqiwkdZQVfvIw3XVp5CNqJyCn1ASUkJdXV1yef19fUMHz4cXdcBb97y5MmTCYVCzJw5E4DGxkaKi4vTYe5FsbqLgqZEIRvobJntYOC6ylPIRjJSFPr74rWpU6dy+PBhjh49SjweZ9OmTcybN4+6ujqklBQUFFBTU0MsFmPXrl20tLSwYcMGKisr0216DywrQjOF/B+spU3zpdscRQroCh/pKnyUpWSkKPT3xWuGYbB+/XruuOMOxo0bx4IFCxg/fjy33norr776Kk8//TQrV65k9uzZTJ8+nZdeeolnn32WwsJCANatW0dpaSn19fVMmjSJf/zHf0zLeThxk6N8hY/EBI4bqltmNtB9nYKUVpqtUaSDAZ1TSCdz585l7ty5PbatXr2a2bNnY5omb7/9NsFgkGPHjrFjxw6mTJmS3O/BBx/kwQcfTLXJ5yHtKBaeh2CrSVxZQfd1CrgqZJiNqCs9heTk5LB9+3aam5uZMWMGEydOZMWKFVx77bXpNu2CSMckjjfPoTMBqRjYdA8foXIKWYnyFFJMKBRi9erVrF69Ot2mXBbpmlgJUbCVKGQF3cNHSOUpZCPKU1BcFCGtpKegBrlnB93XKaBmaGQl6kpXXBQhra6cgqa+KtlAp/i7aAipwkfZiLrSFRdFI54MH6mcwsAnbsaRiZ8EGwOhwkdZiRIFxUURWJjJ8JFShYFOzIx5uQQSOQVUa5NsRIlCH7BkyRKKi4uZMGFCcltVVRUlJSVUVFRQUVHB1q1be7xn//79LFy4kIkTJzJ16lSqqqqIRrsmX+3YsYOvfvWrTJw4ka9+9av8/ve/7/Pz0HCwZABQJanZgBmPJXMKLrqay52lqCu9D7j33nuprq4+b/vDDz9MTU0NNTU1PdYwvPnmm6xcuZKHHnqI9957j927dzNixAjuvPNOTNPraV9UVMRbb73F+++/z4YNG/jWt77V5+chhE08IQqu8hQGPNFYNCkKNjpCeQpZyYAuSX33tY9pqmu/oscsGhnm5gWXXlcwY8YMamtre3W8lpYWnnzySXbu3Ek4HAbA7/dz//33o+s669atY9WqVT3aaY8fP55oNIppmgQCgS98LpdDE3Yyp6CqjwY+lmn2CB8pTyE76TdXuhBiphDiXSHES0KImem2py9Yv349kyZNYsmSJZw9exaA1157jWXLlhEOh3nqqaeYPHkyq1atYunSpSxevJht27add5zf/va3TJ48uU8FATxRUCWp2YNpdYmCi66m7WUpfeopCCFeASqBRinlhG7bZwMvADrwcynlM4AE2oEgUH8l/v7l7uhTyQMPPMCaNWsQQrBmzRoeeeQRXnnlFQ4cOMDy5cs5cOAANTU17Nu3j82bN7Nu3ToM4/yP58MPP+T73/8+v/vd7/rcZqF1hY/s/nP/oOgj4nGzR/hIrVPoPe/85g+E/3qWr37vv2L4Mvta6WvrfwnM7r5BCKEDLwJzgOuBe4QQ1wPvSinnAN8H1vaxXSln2LBh6LqOpmncd9997N27N/maruscOnSI22+/HU3TmDNnTvI1KWXycX19PX//93/Pv/7rv/KVr3ylz20WmpNcp+AKDTMWvcw7FJmMY8VxE56CFDpSiUKvyTn3Gu3TV/Hqz3+RblO+NH0qClLK/wDO/M3macARKeWnUso4sAn4hpSyM6t1FrhoXEQIcb8QYp8QYt/p06f7xO6+4MSJE8nHb7zxRrIyacKECezZs4fy8nLeeecdXNdl+/btAGzYsIGbbroJ8HIPd955J8888wxf//rXU2Kz0LqFjzBoj3Zc5h2KTMayLJzuPwlq2l6vieQdA6B82CY+a2xKszVfjnT4OSVAXbfn9UCJEGKeEOJl4FfA+ou9WUr5MynlFCnllKFDh/axqV+Me+65h+nTp/PXv/6V0tJSfvGLX/C9732PiRMnMmnSJP7whz/wk5/8BIAFCxbw05/+lGuvvZbx48czZcoUdu/ejZSSw4cPs2bNGsDLRxw5coQnn3wyWdba2NjYp+chhE084Sk46EQjkT79e4r0Yttd4SMAqSlR6C0yPggAK7+WY0cOpNmaL0e/qT6SUr4OvJ5uO64EGzduPG/b0qVLL7hvYWEhjz76KJWVlbz44otUVVVhWRbV1dWMGjUKv9+7U09HEz2h2cnwkYNBzFTho4GMY1nJ8BGAq6bt9RqhdbUEiccy++YpHaLQAIzs9rw0sa3XCCHuAu4qKyu7knaljYULFzJ69Ggef/xxamtr0TSNyspKZs2alV7DNBtLdIaPNMyoEoWBjOPYOFo3UdCVKPQWIRw6s39Wht88pUMU/gxcI4S4Gk8MFgH/7fMcQEr5FvDWlClT7usD+9LCjTfeyObNm9NtRg/+1lMwzViaLVL0JY4dx/V3hY8cTV5ib0V3hNYlCnbcTKstX5Y+zSkIITYCfwLKhRD1QoilUkobWAlsBz4CXpNSfvg5j9uvZzQPGDQLS3j3DQ46lqVEYSDjOFaPnIKrq5xCrxFd4SPXzuzrpE89BSnlPRfZvhXYeqHXenncAecp9EekZmOJrkRzPMPvgBSXxnUcnIRnCOCoRHOvEd3yL9KOp9GSL09mr7JQ9ClSt7C7iYLyFAY2rvs3noIKH/UezUbYQQBcR4lCylHho9QQ17qa4DnouFZmf9kVl0Y6do/qI0dXotBrhI2wE8urHCu9tnxJMlIUpJRvSSnvHzx4cLpNuSjV1dWUl5dTVlbGM888k9xumibPPfcc06ZNo6Kigrvvvpvdu3f3eO83v/lNysvLmTBhAkuWLMGy0vMl6y4KNgZ2hrvFikvjuo7XCC+xjtRWOYXeozkIx/MUpJvZ10lGikJ/x3EcVqxYwbZt2zh48CAbN27k4MGDmKbJ3LlzMU2THTt2UFNTw/PPP8/atWt5/fWuJRrf/OY3OXToEO+//z7RaJSf//znKT8H04wT7zaC00XHsTP7DkhxGRwbFw3D9eLjatre50CzIRE+IsPHmPabxWt9wR9++TMaP/v0ih6zePRYbr33/kvus3fvXsrKyhg7diwAixYtYsuWLZimyfz581m+fHly32uuuYYtW7Zw2223MWfOHEKhUI9ZC9OmTaO+/or0B/xctLSdw+rWbcRBRypRGNBI6SREwcbSfdgqp9B7NBsS4SPhZrYoZKSn0N9zCg0NDYwc2bU+r7S0lIaGBrZu3cqyZcs4cuQIN998M7fccgsPPvgg+/fvZ/78+ee1ybYsi1/96lfMnj37b/9En3OutSXZ4gK8rpmZnkBTXBopbRz0pKdgZ+SvQ3qQmo3rJESBzBaFjPQUeluSerk7+lQipWTkyJEIIXjsscd44YUXGDduHDNnzmTevHmUl5fzwQcf9HjPd77zHWbMmMHNN9+ccnvb21uTA3bAW7wmXdUQb0DjOj3DR5okHrfw+32XeaMCzUE63vWiZbgoqHuBPqCkpIS6uq6ef/X19QwfPhxd9yo7mpubmTx5MqFQiJkzZwLQ2NhIcXFx8j1r167l9OnT/PjHP06p7Z1EOlp7eAouGjLD3WLFZZAOLjpG4nN2hE7bubY0G5UZSGHhDBBPQYlCHzB16lQOHz7M0aNHicfjbNq0iXnz5lFXV4eUkoKCAmpqaojFYuzatYuWlhY2bNhAZWUlAD//+c/Zvn07GzduRNPS8xHFoh1JT0FIFxsj4xNoissgHRw0DMfzFBw0Wltb0mxUZiA1B9dNXC8ZPociI8NH/b0hnmEYrF+/njvuuAPHcViyZAnjx4/n1ltv5dVXX+Xpp59m6dKlGIbB9OnTeemll3j22WcpLCwEYPny5YwePZrp06cDMG/ePJ544omUnoMVjRAPeV9yv2Ph6LryFAY63RLN4IUMz507A4xNr139nLhlgubgJqYUaiKzr5OMFIVMaHMxd+7cHlVE4LW/nj17NqZp8vbbbxMMBjl27Bg7duxgypQpyf1sO/1fqng8ihXywkedooCb2XdAiksjZBwHHT3pKehEO1rTbFX/pzXihdikNMA1Mt5TUOGjFJKTk8P27dtpbm5mxowZTJw4kRUrVnDttf1nlnQnrhVNho/8tpVY1JR+sVL0HULGvJyC7S1ac9Ax1bS9y9LR3g6AKw2Ea6BpmX2dZKSnkMmEQqG0DMz5vLiWmRzF6XcsHAzUIPeBjYY3eU23O8NHOmZMicLliHR6CugI10Bk+BjTy3oKQghdCHEoFcYo+g/SNZOzFJSnkB1owsRBx+905RSceGZPEUsFkYjnKUh84OqIDM8pXFYUpJQO8FchxKgU2NMr+vvitQGBE+/yFOKeKGio1tkDGU3EkULDlxQFDUd1xr0sscT4TSkMhOtDiMz2qHubUygAPhRCvCOEeLPzv7407FJkQkO8TEe4VldOwfISkJpQojCg0bwV675kotnAdTJ7tGQqiHeO3xQGSD1rqo/W9KkVin6HkBY2PjTXxec4OBjoQrW5GMhI3fsxC7hejysHDemoG4HLYcciaAYgvPARWhZ4ClLKXUAt4Es8/jPwn31oV0azZMkSiouLmTBhQnJbVVUVJSUlVFRUUFFRwdatPQfP7d+/n4ULFzJx4kSmTp1KVVUV0WjXXdrevXuT773hhht44403+vQcNGzi+NClgy5dbHQ0Tf1ADGSk4f2Y+dzO6iMD4arP/HLYtvdvJHSfV5KaDaIghLgP+A3wcmJTCdC/psz3I+69916qq6vP2/7www9TU1NDTU1NjzUMb775JitXruShhx7ivffeY/fu3YwYMYI777wT0/S+cBMmTGDfvn3U1NRQXV3NsmXL+nQ9g8DzFHTXRXddXHR0XXkKA5mkpyC71ikIqTrjXg47nsi7aAlRyJLw0QpgGrAHQEp5WAhRfOm3pJ+Wtz4hfvzKltT5R+SSf9dXLrnPjBkzqK2t7dXxWlpaePLJJ9m5cyfhcNj7G34/999/P7qus27dOlatWkVOTk7yPbFYDCH6ttm9ho2FD93t8hSEpkRhIONcUBTUZ345HMcr5bVtgZRZ4ikAppRd3w4hhAGkrdl6plYfrV+/nkmTJrFkyRLOnj0LwGuvvcayZcsIh8M89dRTTJ48mVWrVrF06VIWL17co532nj17GD9+PBMnTuSll17CMPpumYkmEqLguBiu64USDBVKGMi4ifCRISVI6YkCylO4HNKJ8yr3sWLUDBzX581WyGB6+6uySwjxAyAkhLgd+A7wVt+ZdWl62+bicnf0qeSBBx5gzZo1CCFYs2YNjzzyCK+88goHDhxg+fLlHDhwgJqaGvbt28fmzZtZt27deT/6X/va1/jwww/56KOPWLx4MXPmzCEYDPaJvUI4WPg9TwEXV+igK1EYyDiJHzMfEk26OMJAE0oULosTZy//BYAP9dFUiA8u84b+TW89hceA08D7wDJgK9C/l+T2M4YNG4au62iaxn333cfevXuTr+m6zqFDh7j99tvRNI05c+YkX5PyfIds3LhxhMPh8+YvXEl0YRGXfgzXQU8kHl2VUxjQuLrnKehCorsulvRnfHllKnBdi/F41+K7weuQWmYLaW9F4Vbg/5FSzpdS/oOU8v+WF/q1UlyUEydOJB+/8cYbycqkCRMmsGfPHsrLy3nnnXdwXZft27cDsGHDBm666SYAjh49mkwsf/bZZxw6dIgxY8b0mb1CONj40R0Ho3OQu6F+IAYqpm0mcwo6AsNxiMtAxvfxSQXCtRF410hNYBJOhucUehs++t+BfxFCnAHeBf4D+KOU8myfWZbB3HPPPezcuZOmpiZKS0tZu3YtO3fupKamBiEEY8aM4eWXvUKuBQsWMHv2bHbt2t9MEgEAACAASURBVMX48eOZMmUKs2bNQkrJ4cOHky2z//jHP/LMM8/g8/nQNI2f/vSnFBUV9dk5aJqT9BSMRPrI0tUPxEClqe0MjuYVL/iERHcd4gRU+Kg3yDh2oiVMu55Hkz4ozQZ9OXolClLKxQBCiBHAPwAvAiN6+/5sY+PGjedtW7p06QX3LSws5NFHH6WyspIXX3yRqqoqLMuiurqaUaNG4fd7q4q/9a1v8a1vfatP7e6OJmxsjISn4ImCbdi4rpu2wT+KvqO5+RRuInCgQ8JT8COUp3B5pJPsEwZgaX1bGdjX9OpHXQjxvwE3AxOBJmA9nseguAIsXLiQ0aNH8/jjj1NbW4umaVRWVjJr1qy02SQ0mzh+Aq6d9BRcoWF1tBHIU+1FBhotZ0/j4I2LNYTAcO2EKChP4XII6d1AdWJn+E1Tb+/0/wfwCfAS8AcpZW2fWZSl3HjjjWze3H/WA2pGDAsfuU6kK6eATnPTaUYoURhwdLSdwU2Igk94noKF8hR6g4bVw1OI9/Eaor6mt20uioAlQBD4P4UQe4UQv+pTyxTpxRfFwofPtfElvuMOBs1nTqfXLkWfEGtvTYaPDCEwHM9TFKri7LII3GSfMABLaDh25s5U6G2bi0HAKGA0MAYYDKTtrDN18VqmEI3b4Itg48PnOOid4SN02s81pdk6RV9gm+04nTkFrZsoGKpL6uUQwvMU/LYXarM1g2g0c9f09Db49UfgLuA9YKGUsrwz+ZwOVOvsvuV0SweurwNL+PC5Dv6EO2yjE4m0pNk6RV/gWpFk+MivCfyOjYUf6VOicDk0nB6iYGHQ0dGWZqu+OL2tPpoEIIQI9605iv5AfUMjrhHFxsDXrSTVQceKqkHuAxI71i18pCU8BR/SiCCl7PNeW5mMt6bHh9/2Qm02Pto72hhGv28Pd0F6Gz6aIITYD3wIHBRC/EUIMeFy78tmqqurKS8vp6ysjGeeeSa53TRNnnvuOaZNm0ZFRQV33303u3fv7vHepUuXcsMNNzBp0iT+4R/+gfbEYPBU0dzYgBQSWxg9PAUHA8dSM3sHIpob66o+0jX8ro0lfLhGFDOqKpAuhdcSxiBgeaJg4SPSkbnXSW/DRz8D/klKOVpKOQp4JLFNcQEcx2HFihVs27aNgwcPsnHjRg4ePIhpmsydOxfTNNmxYwc1NTU8//zzrF27ltdffz35/p/85CccOHCA9957j1GjRrF+/fqU2h8555UnSiHwSwdD6xQFDWmrmb0DEU2aXdVHmjeS0xI+0FxaVHHBJfHW9Ph6iEIsmtobuStJb0tSc6WUf+h8IqXcKYTI7SObrhjbtm3j5MmTV/SYw4cP79Gb6ELs3buXsrIyxo4dC8CiRYvYsmULpmkyf/58li9fntz3mmuuYcuWLdx2223MmTOHUCjEoEHeikgpJdFoNOWuuxM5myyx80sXv97lKeCqGPNARMdKho/8hk4g5mAJ7+fh5Ik6hpeWpNO8fo3nKXSJgo2RnNucifTWU/hUCLFGCDEm8d9q4NO+NCyTaWhoYOTIkcnnpaWlNDQ0sHXrVpYtW8aRI0e4+eabueWWW3jwwQfZv38/8+fP79Em+9vf/jbDhw/n0KFDfPe7303tCcRbk8v2A1Li1707SAcdDTXIfSBiCBPH9UTA0DT8roOdEIWWs1f2xmqgITQHG4NgYgKbhR/LzNybp956CkuAtcDreHMU3k1s69dc7o4+lUgpGTlyJEIIHnvsMV544QXGjRvHzJkzmTdvHuXl5T26nr766qs4jsN3v/td/u3f/o1vf/vbKbPVcDuId4oCEr/ufU0c149O5pbaKS6Opps4bhB08BsGAddECg1b6phtZ9JtXr9GCgdX6ISsTlEwcKzMvXm6pKcghAgKIR4CnsJLMn9NSvlVKeVDqhnexSkpKaGuri75vL6+nuHDh6Mn7ribm5uZPHkyoVCImTNnAtDY2Ehxcc9qBV3XWbRoEb/97W9TZjuAj0iXp4DE1+kpuAE1p3mAYugxHNubzREM+JLT1yx8WDFVhnwprMSvaE636iMrnrmewuXCRxuAKXhzFOYA/1efWzQAmDp1KocPH+bo0aPE43E2bdrEvHnzqKurQ0pJQUEBNTU1xGIxdu3aRUtLCxs2bKCyshIpJUeOHAE87+LNN9/kuuuuS6n9Pi2KhdeIL6gJ/IlhP7YbRNMz9w5IcXEMI4btBgDIDeYQTJQhx/Hj2plbc58KOrvLhlwHIV0sfEgrc2+eLhc+ul5KORFACPELYO9l9lcAhmGwfv167rjjDhzHYcmSJYwfP55bb72VV199laeffpqlS5diGAbTp0/npZde4tlnn6WwsBDXdVm8eDGtra1IKbnhhhv4l3/5l5Ta79NjWG4AdAhqGsFOUbBDaIZa0TwQEUYM0/E8hfz8QYREol06foJO5pZXpgJL8/6t/NJBlw628OE6mdse5HKikCxQllLaagFL75k7dy5z587tsW316tXMnj0b0zR5++23CQaDHDt2jB07djBlyhQANE07b91CqjGMGJYd9kTBp+P3e6Ek2wkgjMytqlBcGCklwhch6ngFhUOLhhFKjJSM4ydHFRdcEkv3Ov74petNrNONjBaFy4WPbhBCtCb+awMmdT4WQqilrZ+TnJwctm/fTnNzMzNmzGDixImsWLGCa6+9Nt2m9UA3oliJH4hcw0fA791B2q4ffEoUBhoRK4L0RYi4IQDyiq4ix/B+Giw3iK5lbnw8FdhGQhRw0V1vdbOwM1cULukpSCn1VBkCkFj7sAuoklL+r1T+7VQRCoVYvXo1q1f33xHXwhfFdAoByPH7CQRDIMFyAhBQojDQONnajGtEiBBEcx2CuXnkGt6lb9lhdE15CpfCSohCAImeyCkIJ3PzMH06DUII8YoQolEI8cHfbJ8thPirEOKIEOKxbi99H3itL21SXBrLccEXIZ6IL+cGQ+QOGgJA3PHj+jqw7cyeQavoSX1DPWguUUL4bBuEIJwIGcbdXHRDicKlsBPho6CQiTkUPjSZuYnmvh4R9EtgdvcNQggdb5znHOB64B4hxPVCiNuBg0BjH9ukuARn2k3wRTDdhCjk5FJY5IlChABStznVoJLNA4mzp44DECWA3/HSiOGQF0qKO7mq4uwS2HYUKzFpLQBojhc+UqJwEaSU/wH87cqXacARKeWnUso4sAn4BjATuBH4b8B9QogL2iaEuF8IsU8Ise/0adWT5UpzvLEVx99GPFGzHs4Nk5+Tg5CSiPS21dUdTaeJiiuM2eJdojECyfbP4RwvpxRzQgjlKVyUxtZTyTU9QV3zEs340EXmNhHs7YrmK0kJUNfteT3eoriVAEKIe4EmKeUFh/hIKX9GohnflClTZN+amn001NUTMmLEEjXreeE8fMEgPtsiiicKzafr8PRbMRBwI96wqpgWwJcQhcHhMMQh7gYRaqbCRTnV1JDsExbUdXSnUxQyN9Hc7yZMSyl/ebkkc3+fvLZkyRKKi4uZMKGru3hVVRUlJSVUVFRQUVHB1q1be7xn//79LFy4kIkTJzJ16lSqqqqIRs+/GI8dO0Y4HOa5557rE9vbTh8DvPwBwOC8MIFQDj7HJiI8oYi2q/DRQEKzvXUIpvATsDxRyBuc721zA8mZCorzOdvUmPQUcgwN3XWwpA9Ny1xPIR2i0ACM7Pa8NLGt1/T3yWv33nsv1dXV521/+OGHqampoaampscahjfffJOVK1fy0EMP8d5777F7925GjBjBnXfeiWn2jE3+0z/9U5/2dLI7vJSO6Xhf9Ly8MJqu47fjRDVPFNxY/xRjxRfDl+h8G9MDBBKllIMGFXjb3BCuv52zbeozvxAd55qxEgGXkM+H4TrY+NEyeLZ1OsJHfwauEUJcjScGi/DyCFecjz9+irb2j67oMfPC47j22jWX3GfGjBnU1tb26ngtLS08+eST7Ny5k3DYG2zn9/u5//770XWddevWsWrVKgA2b97M1VdfTW5u33Ut120vvhx3E3c/OTmeTZZFLCEKupu5veIV5+MTXs4grvmSopA7KB84i+kEQHM4fvxThgyanEYr+ydWRyt2IHGt+P3orkMMv/IULoYQYiPwJ6BcCFEvhFgqpbSBlcB24CPgNSnlh5/zuP06fHQx1q9fz6RJk1iyZAlnz3r9BF977TWWLVtGOBzmqaeeYvLkyaxatYqlS5eyePHiZDvt9vZ2fvSjH/HP//zPfWqjX3prEk3XQHNdjIAnBAE7nhQFA7VWYSDh12Lgali6j2Aip9B5MxBzvTBic8NnabOvP+PG25M5hZyAD8NxsKWBUJ7ChZFS3nOR7VuBrRd6rZfHfQt4a8qUKfddar/L3dGnkgceeIA1a9YghGDNmjU88sgjvPLKKxw4cIDly5dz4MABampq2LdvH5s3b2bdunUYRtfHU1VVxcMPP5z0JvoKv+bFl+N4oiASHVIDVpz2kOeh+NRipgGFYcQQdoi4zyCYKEn1+QyElMQSHmPb6RPpNLHfIuyOZE4hN5iD0ZaYWKdEQXE5hg0blnx83333UVlZmXyu6zoHDx7k9ttvR9M05syZw7p16wCSCb49e/bwm9/8hu9973u0tLSgaRrBYJCVK1deUTv9RjvCDhDHi492ErRN4oYPYYUwVInigEI3YsStPNyATk5CFIQQ6I6d9BScjuZ0mthv0d1YMqcQzsnFcM96IqGbuI6Lpve7Wp7LknkWk5nhoxMnuu603njjjWRl0oQJE9izZw/l5eW88847uK7L9u3bAdiwYQM33XQTAO+++y61tbXU1tby0EMP8YMf/OCKCwKAzxdBiw/C1nX0bqIQsuNYug9h52CoxUwDBle6aEaUqOMVbYS6feaG62JK7y5YdzPnWkslOjEs6QlneNAgDNfBwkAaccyInWbrvhgZ6Sn0NnyULu655x527txJU1MTpaWlrF27lp07d1JTU4MQgjFjxvDyyy8DsGDBAmbPns2uXbsYP348U6ZMYdasWUgpOXz4ME888URKbdf9bRAPY+lGD1HIcSzihoEbCWH4YjiOi56Bd0GKnpzqaESGmumIXg1AbrflQbprYwoD4Rr4NVVccCEMzcROLOrMyxuEz/HGmErdJHo2RijPn2YLPz8ZKQr9nY0bN563benSpRfct7CwkEcffZTKykpefPFFqqqqsCyL6upqRo0ahd9//peqqqrqSpsMQNx2wd+OGyvA1gwMp0sUwq6FFBpxOxefr4O6urOMGVPYJ3YoUscHdR+j5Zwm0jIVgLxuOu9zHGzdQDMH4fMpUbgQumYSdwNowiWQl58oSTVwdJNzZ6IMGTUo3SZ+bjJSFIQQdwF3lZWVpduUK8LChQsZPXo0jz/+OLW1tWiaRmVlJbNmzUqpHWcjcaS/Dae9FNPvT7Y8AMhLDF1pjxcRHFLDwSN1ShQGAMdrP6A04NAR99Yl5BldjZENx8bSDWQ8Dy3QiutKNE3NVOmOrptYMoDuOui5g/FJx5ttrdu0NLUBwy57jP5GRopCfw8ffRFuvPFGNm/enFYbTp3pwPW34Ti5xPxBwrGu0tNBid+K9lghQ/wdNH12GKhIj6GKK4bV8hkMg5jtVbUN8nV5pj7bxtZ92PFc/IFWIufihAsC6TK1X6IZMSzXj46LCAbxuV74La5JWlsy07tSQWFFkhN1n4Dm4ro5RH0BcuJdq6mHBLyvSofptT/wRz9Ji42KK0vA8ZpKRqzEKM6croWRQTtO3OcnboeQgXN0nFMFBn+L0E3i0lu0hmHgS+ThLE0j1pqZMxWUKCiStNa97z0w8oj5A4TtLlEozPUWM0XMPJCCsK8+HSYqrjA5+ln0eB6dXbYKBnW1jsmNxzB9fuJOEMffxoljLekxsj9jxLDwo7suQgj8CVGw8RGPKVFIGZlYkpoJ6B1e89pwKBfL8JHndJXUFRV4CbM2F3wdwwnmHk+LjYorSyhwFl/HcCLCC3sUDu5KjOZZMWI+P6YIgJA01tWmycr+ietKMKJY0pes1PMnqrcsfEizI53mfWEyUhT6e0O8TCVHeAuUQo6XahpMV2fM4iFeIrINDdk+Am1wHY5zwe7migzBdEx8obPoHcOJJgbFDC0Yknx9sG1iGn7iWp63f8f7abGzv3Km3cQ1vMVrSVFIXDM2PrAyM9yWkaKQCVRXV1NeXk5ZWRnPPPNMcrtpmjz33HNMmzaNiooK7r77bnbv3n3BYzz44IN93taiO0H/OYSZR+MZL5hQ4OuqRCka7IlCh24QixQhQ2doP6vCCZnMybZjaIF2ZMdQIpoPISVFRV0VZfmujatpxJwh4Or4jENptLb/cep4E9IwsaQXPgJvTjOQEIrMbHWhRKEPcByHFStWsG3bNg4ePMjGjRs5ePAgpmkyd+5cTNNkx44d1NTU8Pzzz7N27Vpef/31HsfYt29fsmleKpBSYoSacaOFnIx4X+bCbt1Y8xOtlDsMP622d+d4tlElmzOZk+e8PpROrJAOXxC/bRHo5n0XJcqQrZgfX9tIfIPU592d5uNeuDUufeiJNT2BRMWujQ9DZqYoZGRJam9Zc7ieD9qv7NSoCeEQT11Tesl99u7dS1lZGWPHjgVg0aJFbNmyBdM0mT9/PsuXL0/ue80117BlyxZuu+025syZQygUwnEcVq1axa9//WveeOONK2r/xTjVdBI31EysrZTTtnevUJyfn3w9HMoDmoj4ArRpgxkCNHz2EWOun5oS+xRXnrrmjygA7PhQWoK55JhRRLfFksUB7+chZmk4LaOh9E/ELRO/T5WlApxtOky4yMsfGK6Xf+v814vjJ5ChIzkz0lPo74nmhoYGRo7smiNUWlpKQ0MDW7duZdmyZRw5coSbb76ZW265hQcffJD9+/czf/78ZJvs9evXc/fdd3PVVVelzOZP3v8YK9hMuz2U5sRXe1hhQfJ1LRDGZ8eJ+QL4h5UA0HLmcMrsU1x5zrZ8CoCQV9EWDBM2e95AXZWoOGt3NNpbh4Me53D9/pTb2V8xO7zZYFEtQMDyvIJgYnGfjUFAt5Bu5k2sy0hPobeL1y53R59KpJSMHDkSIQSPPfYYL7zwAuPGjWPmzJnMmzeP8vJyPvjgA44fP86///u/s3PnzpTaFz1Rj7jKJaIPp0X3atZHdE/kazrBuEnMH2Bk+VW4R0MIV1UgZTSRU4iAD39oGO3BKKVnTvV4eUSRl3RuQac5WkgOcPzYfsZfreZzA2iON5DK1AMEE2t6golW8xY+fEYcM2oTzPWlzcYvQkZ6Cv2dkpIS6urqks/r6+sZPnw4euIL09zczOTJkwmFQsycOROAxsZGiouL2b9/P0eOHKGsrIwxY8YQiURIRTsPt937QZCDv0KrP4TuOAwOBXvsE451EAmEuGrIVeiRofj8p/vcLkXfkWu344sWkV+aS0cwRF6sZwllcaHXoqFV99HiD4GrEz+n8gqd+IW3DsHU/QQTlUbhxDUeI4RhmERaMy+voEShD5g6dSqHDx/m6NGjxONxNm3axLx586irq0NKSUFBATU1NcRiMXbt2kVLSwsbNmygsrKSO++8k5MnTybbZOfk5HDkyJE+t1mXXjlq7pBraQvkELTjBIM9RWFwtJ2IP0ieG8aNFmKEmjnecmVzNorUEdYi+KJDESUarqYzONpTFAoSotBuBNCGGPgjw8Cpu9ChshK/0YG0crAMH6GEp1BgeF5BO3loRpzImcwrS1Wi0AcYhsH69eu54447GDduHAsWLGD8+PHceuutvPrqqzz99NOsXLmS2bNnM336dF566SWeffZZCgvT12DO5zsLrkZ+uIT2YC5BK35eh9YCs4OoP0B7cwtmNB8ZauKj46mrkFJcWYKBNnyxIlqD3gjWIWbPMas5+YPx2RbtviCh4lx8HcMxfA3pMLXfEbNj+IwIsXgx4K3+BhiSuJFqIw/XiHHueGvabPyiZGROIROYO3cuc+fO7bFt9erVzJ49G9M0efvttwkGgxw7dowdO3YwZcqUCx6nvT01TbW04BmIDaEk6BIJ5hC4gCgMtSJEfQFOnzhOJD6IQbrNybpP4foRKbFRceWImmfQfTH0aBGfRVqAIor+ZrGVyMkhGDeJ+INcNToX/U/D0YcewHVtNC27fzo+a/0M3R8hYns3cp0tYXJzcglYcc5RQDz0HmfqmxjP1ek09XOjPIUUkpOTw/bt22lubmbGjBlMnDiRFStWcO2116bVrnjMhlAzVjSfayKfEQmECFpxfL6eCbKrpIOradQ3HKNDepVJsaaP02Gy4kvywbH/DwAZHcqxFq+Kb5jsOSlMCEEwHiPmC3D18JE4kSKE5tAeUSGkkx0nEYE22m3vOgjbXu4gJ5xH0IrT6hRg5tURac68/kcZKQqXK0ntnGvcHwmFQqxevZq9e/fy/vvv89Zbb3HzzTdfseN/kXM/9OEp7JzTxJ0hOJ8dpD0nTG48ihA9e+ePDHgi0dDaStTvxZv98U+/vNGKlPPREW8VvbBHUtfu3eVe5T+/SibHjBH1BykvKCcS81bXH/3sw9QZ2k853n4c199Ge2KM6SC8xWu5eXkELZM2ZxDx3BMQiVzqMP2SjBSFS/U+CgaDNDc392th6CuklDQ3N5+XIL4c//mXj3D8bRjBoZyqqyXu85Nvnp9AHpnvucqNtosxpBDdHETYqM3Kf+tMx+z4GGH7yQ9fzUlbELRMhuQXnLdfrhkh5guAC1Hdu94aav+YanP7HfXNDbi+Dtpdr4Fggea1ucjJLyBoW7SRB5pD0DiZTjO/EAMuMFhaWkp9fT2nT2dnuWQwGKS09POtzxDtnwEQLizlow+8ltiFzvmrMYcPGQYSmoWP4cVF6MdLCIePc6rVZPjgzydEivSSq5/E31FC3rDBNMUD5JgxBg87Pzc0KNbBpz4/Z5qayCsuwd9YAcX/zjvv+Zg16ak0WN4/6Dh9CgZLOpwQAIV+7/4656rhBPcf4mSuJ7D+nBNps/GLMuBEwefzcfXVmZXYSTdh2QTAoOJr+E/L+xIPFed3QC3Oy4VWOOcLMX50OUf/WoI28l0+PnVOiUIG4bou+aEzBBun4RsZpPFcHmEzSm5J8Xn7Dol1YPr8HD92jGtGfgV7+0r2T32CqPsmkL2iEGxrgcHQ7nqrvofmeN9/fdAggmaMDl8O0vFh5GXeAs+MDB8prix5AW9l5rDhE/nM54UIhuvnfzXyc3PQHYe2YC5XDRuKdW4EGCZH61W7i0ziw/f2E/DHCLSXoheHaMrNJz/STk5R0Xn7Do9HkUJwtKGW/KIhCGngNl3HINGBlNnbOn24OAtS0G55eZZhQ7zrRghBTjyGrRtE28dgF33oFXJkEEoUspxoh4V/UD1abDDD8q6mIVxIIG5SEDr/zl8Ph8mNRWgP5GBoDpE2rzdTW6Pqs58pWE1R5O//BEC9vIrmsXlYho/8aBvhoUPP23+k4RUbHGtuQsvzSpS11hL8QtIe+Sx1hvcjbNemMKeJQNtIOoRAc12Kirv+7UKmV9rb3HIjVl4DH/11R7pM/UIoUchyPv74DOR/hmwvQYud49TgIgbFOs5bowCg5eaS19FGNBCk7dgHRByvAknEVFlqpvDp27XEB32MlIJBY6bzadSrPMqPtBPMyztv/7GjRwNwoj2GnhAFvd1riHj8zL4UWd2/ONXeQGjQSfxnyoloGn7HIueqrnxMTtwr0miTE9HjeRw//ss0WfrFUKKQ5dR+0oCTexIrPhw6mmgaXEReLELeBX4g9NxcCtrO0R4I0fjxfvTBQ9GsXAp99UTimeUiZyuNDa20F35IrPlqhl9VwsetXslkQdu5ZG+u7oy8wVtU2YyBPsgTBV+79wN49rOaFFndv6hr+iNCtxBnryWi+/DbNsHCrnxMOLG6WS/KIXxqCrqeWSW8ShSynNamAyAkwhhNvKmelkEF5JnRC7bcEH4/JU2nOBfK5VTdpxQOLUB0DKUocI4/Hu37/kyKL49htuHkHaOj8Tryh+Vw6Ow5fFacwdELr5wfNtKrZGsJ5CAMDf2qXIaIXEQsH1GXneGj4yeqwTVw2sYRM/z47Th6qKs8Pi/RRlsbZOCLFaIbURwnc3qEZaQo9Pd5CpmEgTdiMX/wBD796K84ukFeLHLRPkxXnz6Fq+l83B4nNz+A0zEUf7CN33z461SarfiC6KH3QXOJR69jyIhcPmlvp6DjHIGLJI0LfAaa69Ae9BKqueMLGaZrhNpLMcOfYnY0p9L8tOO6Fv7oPnIbKzByCon5/PgtC/xdY3MHu145ty1tjJhXmhqJZs56hYwUhUstXlN8PnJzajFi+Vx11fUcavDWdlxKFMrPeOWrn5BDbn6ASPtQrGAzxgnVGK+/I12Jln8IHB9jxt2EEIKjcZvBHe3k+M4PHQFoQpBrxogGQkQaGwmOK0QgGHRiOlZOI3/+z/+K45gpPpP00dS8i5AWJ//E18kbHibm8xOw42B0TaMbJCRCSpojMUTMW9z21+NH02Xy5yYjRUFxZdj50UlChZ8QarmW4uFXUdvu5QUG2/EL5hQAyiNeL5e6YCHhwX7aWotAc7i7bSznTijPrb/yjxv+zK//cJjokEM4zWX83dfLiTgujVqA/FgHhYMv/HkDDLZjRP0Bav/lRXwjcjFDOjnH/wvDDi7GtI4TjWZPGOmT429iOTq5TRPJHZGL6fMTtEzo1hImFMohFI9xwnSwLE8UPj6eOe1glChkMRt37kALnSV05jp8Q3KoS4zhHJkTPK/vUSdDdJ1gPMbJ3KHkhkzMdi/BVqIbnHj1PdXyoh9iOy5/+OtpDny6k3hePdGz5YQLghxNVB4NNqMUjRp10fcP0SVRn5/aP+7GqqvDWHANbzqn8Hd4VUjtkexpp33q3CGciLdeI3/sYOI+P0Gr5yCdUN5gwmaUBukj7nhhpePNx9Jh7hdCiUKW0XYmxq9+uJtT22sZYVQDEOy4Ds2vc8KfOlR4nwAAIABJREFUh2FblA45vwdOJ3p+PkPaztEUHsKQvHZKrxkHwGH/McKtEPtYhZH6GydbYziuJF9/F4CY9XcAHIl4VTL5kXaKysZd9P1X5QaJ+IOcGZRLZN9fGHVdEduKDiGi3vfk0PsH+/gM+g+22UigYwQu4OS5mIafXKtnEjmUn0+uGeOUkYPtDyLsAO3t9bgZMq9ZiUKWcfLTcxj+vxD/w2f8l5wYmplHuOA6AE6H8wmbMYouMewnNGkSheeaOZM7GN1s4rZvzQDpQ+Y0cVaL0v5u9tw1Zgp76z8CbMbkNKJZOVAwAYBPIglPIdpOwdDzW1x0MnKIl1A9mxfGamhACEH+qAJOY4IUNH78MdH2zBs7+XmRUpJLlGC0CK0oyCefHQUhKIj1bI+dM3gwuWaU08E8jKG5GGY+Rf5GPjmdmtkoXxYlClnGmTN7KL75BdqL/xN//jFyzpaTf3Mp9tmznC4cRtiM8JWvfOWi78+ZNo3iM6eJ+v9/9s47zo6y3v/vmTm9nz17tm+yNW03jTRKCD0UEVAUARtee7sXy0/vVa8K1yuWK4oF8KqoWOggnQTSIL1sstlNtvdy9vTez8z8/pglMUAQBBS8fv45r52deeZ55inf/v2aCMcCCIKI13MZzsYd9FQ/SSSyE/n/wAHxVkE0F+UbHddhbfoRZdYopmgrZe4SE5/+DIPxJPZ0Ar0i43afXDqsdLgpSTqiTheFSS1h4vXrziSgi0Heic4QZqov9rca0t8NxWIMg1TCki/H0uRieEJjgLylEw97i9WGLZ8lazBhnFeNLu+mypjk8ORbw+b2T6LwD4x0evBFOv5MRos+jtY8R8kcQRddQCnUQ9c7ryRhc+HJxGloaDhpm+b2NqpmPZC6AtpBsGDRl1BkA562R5g65Way/f83M9S+GRHIBABwSRn0lghSvJHKscOkNm2id2wKZzqBqMhYrdaTtlFv1jxrwk4Pm2WVSLHEkspW/PoIhpwHhy1KIpA+6fP/KJiKaOlczDkvhlobY1HtkK9SX1DG1KYRBYBSgxsp58JuTHN48q1BOP9JFP5BkU4PsnvPhUSjOwEY6w7TsWGMfGEUgGxFJwAxdRnZjgOMWyxkjCYa1ZevKSsYDMyVNUngSFzzxzYYyskbv01o5DRUsUR4oPMNGtU/8WoRzoWxyRY+MvMOEFRCsbkYg1OM1dczbDDhyiSx65STOhYArHBqBGOorpkvXfwefjoWwKK3kLMVMWY9GCxRlNG3Xi3iV4uegQ4A9NlyDHV2pgraPqjVneiSa7Xbsc4Shagco5R1oTMkWdAVQcmWKJQU5DexfeGfROEfFNmcJuZns1rpxMNbB9n7VAcF9XjkcSlno+XsM5nI5Pn9xe8AoNn4lxfrApfmZjeYP7585ras4+5QKwBxfxel0j/TXvw9oZYUSvE88ViUn8ffzbJKLSX6TakqZqJhNp1zLjmjCWepSHnlye0JAHVGPc5Cms7GRaiiyC6/JilONyQYFnKUTGHk6FsnYvevRXhKizWQCuXoKy1MCXoMxQJzbScSVKvDgXU2KZ4vOEku5wKpxGqmSPdHeN8v93Djo2/e1Bf/JAr/oCgWtEjTYjGCL55Ftv2KhvO+hcUeQJ/RMjr6UjXMbS/nT85ynmtbAUCr/cWJ8F6IltZWjMUC46r52LVal5nDscWoiohsneTjt36Cz235HKFs6A0Y3T/xlzD+0CBT39kLY1MEl95GpOkxkhkPIRwkkwl8zjIAKuJh6uctedm2BEFgXjZCUaeV6+zJFVFUlYqqGp4z9qBKJTLibp7qGuXx4cf52aGfveHj+3ugJpdGKBkxnLcIQScSMFuw5bN4HcYT7rPa7Fhnk+JNBsP4YqtQChZm2n5Fn+8Bjk5O0O9/8xqd/0kU/kFRKEZmf6N85tf70VlG0FtiCKY4uuBqpgsCPYLmdTQt6rHks1x8YAvneP9ylHjFqlU4silmjMfvLbMaMOgsJIpO8rZJTg2dwbOTz/7DHhBvdiRGE0gqOCeOuwhP5Zoot+hIZbNMu7wYCznWju/nzHXr/mJ7ixTNZmAoFsiJEmPZAuvq1lESNAZDWf0Tesdu4qHBh7i37943ZlB/R0Rj+9CV9aLk3NScOQdVVYlYHdjyWcqbFp9wr9FoRFJVrNk0U+k8emsFQ11vI+ccIW74Hz5TtZOqkTevZPWmIQqCICwUBOF2QRDuFwThk3/v/rzVUSxEjv0mE50Y7Mdzr/TkSnzPbwbDJWz8w084UubBkU3TOjGAY+Hav9i2dW4DznSSsMVx7JogCNS5zQwn55CzTdCcnMu35NXo+0b+GdD2d4Cc0uw9VkVbBzOdn2JC+SBLjHlyBgPTbi/1vhFq25a+ZHbUF2KNXkZUFFaMa44KnckMq6pWcV37/1JKVSGUjFjUbsYSY0RzUYpykUhkx1t67lVVJZsskEoP0NHxXhRjgpjvFMITYyjxOAmrHXs2jXXxpSc8p9Pp0IsC9myaIcFMmceBPLSemuf+GyXnosISxJp+8xYoekOJgiAIdwiCEBAEofsF1y8SBKFPEIRBQRD+HUBV1R5VVT8BXAWc8Ub26x8dockUw12a7SCTC3KKYQzJmAFZE/+3SsOgSlzatoSJsREiVgfWQg6LWESwvbj61gshCAKudIyE2U5JUeno6GBmZgaPzcBQZA6yOYrp9JsxzNnImspDDIY63tDx/hMvhjJb7atg8yFkXdzVej7Na1Zw40onPo+XmNlG/eQwlYtWvaL25pdX8KEdj9M+NYSoyHTGNfXHmpYF2Kd+ij2wkipDhJm0DxWVycAzHDz0AT7/xIVsn9r+ho3zjcRET4Rf/7/n6NzyBVTZQOP2m8iOzuOur3+J2PAQWaMZVzYBhhM9twRBoKG6ispUjC53LfJsFUM1VYMuXYHeGsJYUt+0wWxvtKTwG+CiP78gCIIE/Ay4GFgEXCMIwqLZ/10GPA488Qb36x8aux8eIpvW3ELD0Qneg1az2jvwLjLjZ9Kln2ZeWQtnNrgJFXSkTWZs+Swu58l91V8ITyqOIoocGBrmkUceYfv27Zj1EoeCi9EVG8k5h3GPrUfQ5Rnu/i/kVIHIPX1M3bCL6b0zlAryGzL2fyTctnWI3plX79WTzxSRZAUVlYJ1mlxyDgesKruTacTpSYar6wFo8I/StGL1K2rTVjMPvSJjSCfxJmM8ODDCPf/1FURRoKXNiynegFVfoFzQ0ZBo5fDTWgEec36aDv+JTIFcVHjsp50Exl4fj6VCrvRXHbDxYJbQZPKk/w+OJ3E5Z8hZjlA2cDm6ogOdPkYhm6G3ay8A3lLuJZ9dtmw5tfEQRUlPvF4j0EldDn3Wi94awqoIxLLFE5757ObPcnvn7a96HK833lCioKrqs0DkBZdXA4Oqqg6rqloA7gYun73/EVVVLwbee7I2BUH4mCAI+wVB2B8M/tMf/oWYGR/FP7kfR+XsgivE0Vu1KdiUXMKRBQuRRZUWVzO5iYOE9W5kUcKey1BeM/cVv2fubMrku/Zom3+yp4evBnfwzXe+jdW1d9O6+XZKXVdjmzwLnXyUwMN7CQ/vRM2W2P+7HnY88tao1rZpbBPh7N8+PXSmUOK7T/XyUMerixBXZZXITJrC3C0Mr/scedsUY/kFqEAgXyKz/wABlwdUldUVFoyWk8cn/Dlqamqos4gYwj7apkfwWxxsTebJppLYGxyYEhrjcWP0ndw0/QnyST8ArZL+WKzE84j40ox1hxk+9Nr3b6kg87uv7aJry+Sxa4VciU139pBLFV/mSXju3n42/OJELyBFUY6pvAbHE5idmtrVEZtPTlUoZLRx7Y5oxKRFeGnmZt7SpdTMTCAqCoNyP0NXPU7Q6seY9aK3xKht/xM93Z/QxhDXXFoPzBxg28S2V/sJXnf8PWwKtcDEn/09CdQKgnC2IAg/FgTh57yMpKCq6v+qqrpSVdWV3peoKft/Cflsic7NEyfobY8e+Qb1Z/8QnVkLrNHpMxSsPlD1fPhfL6PJrW3eVncrPTueIWnSPIjs6QSVtXWv+N2t5DAV83RIZmw2GzFZpvjsZi5sq8LQ6ESstHI0LzMVXgyizNHqDzK+5lsUjWFkQ5rDu0eP9VtVVfpmkm86/XOikOD6rddzb//f3nAaSmo+8NHMi6PD07E8svxinXS/P4nv9t1kNg+TbnqCkimGKhUYtGi1tP3ZLLGnnyZsd2LPJFl2weWvuD96vZ7Vy1chZVK0BKZwZVPsW7oW/+HdmB65GCFTA6qA3RLBpZpxuDSvs2pLmnRmjIkNfyJwn8ZdxwJasFfP4DA94Z5X92FegJnhOLlU8QSO3z+coHenj8m+l8/DFZ5MkQhmT5Ay/uOmH/H93zyo9TOURZ21xenTVUREmXhQIwodBgeSLDPf9dKOGXqDEU8mgTcZZVtKotZRw7hhDFNOc/8tn/cMufQ2Iru6mblpL+nRCMlikoHYACXl5d2508U3NlDwTWNoVlV1q6qq/6qq6sdVVX3TuawUAwH83/8+6t/B/74UzxO5pw+lIDMWTpPKa33o2z3D9nv7Gel7DEXJ449HUHR7kPRZCgUfICJIRdL2McyWBhxmE03OFvKmZVg7ImzY2kvKaAGgYqCT8praV9yn+paF1IZnmHKWsaN1KUPlNQSyWdRsHKn/HsovdzGtg+7gfHK54wbpvDlAzD6GmDJy9wZNWvjhMwNc+KNn2TUU5sebBniwY/Jkr/2bYiY9c8Lv3xKhtMY9RjMncrvxYIbtN+ym58nRE64fHYjwg5t2Mlz7Vcbq/gXZHCaT0IhBIqMZkn3ZPFlRJG624U5GqVt++qvqk8VdhqDIiKUiSxMBfBV1TB/eAaFuHjwtymhqPoE5G4nahjBZwqiqgF6SuUTaRb/+Cwzov4qqqsRniYJvMswfev6g9bGQ4LbtP2X8hu2vKqniZK92bzJyXI2TmSWomcTJ6zzksyVS0TyKopKKas/KioqhkCI8ox38xUQBncOHlHORVQTUuUaKOc1raKCshvJUDG9F5UnfUWkxUZmM0mOpo7boYFFPGGN2lpHVaX307X0cgJneIQQF8nKe0fjoSds84D/A2rvWMpl84/bI34MoTAH1f/Z33ey1V4y/R+W15ManifzqDvLDr39e9M29fu4/cPJJzvVEyBwMUBhLcOVtu/jeU734A08QzH4Je90BRqav598fv4CvPPBvCNLxQ0RF80XPuwax27XAssFiLYmKL7ClL0rcW8OYpwoARzKGs7L6Ffe5vnURTX2HSJtt7HJ4eXbeMiY8XuRdvyf/u39l+G2X4hRTSCmBYesCpgvaUsubw8iGFLJQYuMzh7j5joPwwATrM3rGAinu3DXGAx2TqKpmiBsMnFzn+0bDn9YOh78lUTgUOMRVj17FVExLiRBNnygp9N4/QJtRRB3QDsNnjvr50C2P0rvjU6w3JMg7xlANSfQZL4eGV9L7lJ5YSAdAUacnunAOcYuNinwGvdH0qvpmc2k2J6mQxRLwI+v07OwY5OvRd3KzeQEPJa+hWDLgX3o7mMJYo5rLsyFTgTWwjKIpgJIqEgtoB6s96yGR1eb3ucnnCO4ZRsyqjO45rtIJZUP88MAPKSovrQp6XhpIho8ThewsUUjHTp6DK+o7zm0nQjlUVWVi8zCSoFBr6+SZZ96B030TepsfQ6aKm4WbUb3aHlUEAZ+nCm8yRl3LvJO+w1s/B3c8TFHSY+sPUzsVx5D5M+2GIpHxaD44vQ9t4Iq0ntXWEj3hkwe29UX6KKkl+qJ9J73nteLvQRT2Aa2CIDQKgmAArgYeeTUNvN6V15LPTpIbevm8JMXZRGBK4vUxjimKzMaf/5jA6DDferyHmze+eJKVvIySK1GKaJsoN5MmlMqzfTDE8PAtYNpD1arfAGBT/ax091DKOkDVIizliEYUBKmIy6UZFH8xph1wY82LuWfd5fRXaXn06yorcb4M1/NCNC1fySeb6xFlmcV9BynodDx01nqKg0fIRQygQnVxGrsMTe4b+MGUthmy5iA21URy7maWmSJMdISQBIGlBR3+7ggrPU/QHr2Vn37oKr735a9y/g+2sblXO5zzB24nu/k/XtSXiC9NcOL1Jx4zGe1b+dN+SqEQhdHRl71fVmS+94tb6JsYOOk9uZyPXG76Jf+36eDDbNp5A/ZDzfSGtPUQyRTIZqeIxw+SiuYwzK7TUiFAonOI8Qf7adQ/g3POPoyLNK6zquujzNn7n5QFs5z9qMBobS2CoqmbDi9ppaDTUy++elWdZZYoWGIxdLMqjgmrm30tawAIG8qYnFiIYA0iG+MkYg2kOt5P3f4voUs0IBtS7OsYZ3enFl0tIjHrOU0sF+O8uNaOMJaj35+kxxdn6/gm7ui+g77Ii/dHIVsiMJZE1AmkIvljaqBsUiMgmfjJJYXw6HE7RyKURQ7nKDwzgiDItLZuR1EPU7OqD71zDCFbzrxhiZ33/YGRuhb+dPF7KeoNeFMxyl4mu6yzphZ3UJvrcFxCzSWRCk4EWY9QsGELnEKmqhdFB2bRyulNSVaUNbJ3ahvFYpTevq+TSkZ4/+Pv55ddvwSO57J6y0oKgiDcBewC5guCMCkIwodVVS0BnwE2AD3AvaqqvqqY79cqKeSGYsQe1zj+UjRH/IkRxp/Wkl2pqspU6sWCS3FKmwT5z955565RPnjH3pO+R1VV9o1GXlJXnhzro2vzRvZu3cZwMI0vkSVbPJEbmrmvj6k7uymFNC4o40shITMSTCJI2oEv6fMoisACnZ5GW5LU9FL0aY3jr4gd52LcrjV0JTMcKaqgqvTVNZMxWXClE5yzfxcf+O6PkXS6v/jtnocgiqy+9B388JavceGWB1gyPkhHy0L8Ez7yWRcA3lgfIgJ3PjaNdfwaSjk7WbMfh+xgfvtTLF72J641Gli+roa0qCKMRHln8xOsWr4DvTuMfvwwViXDhp3jqIpKj+9nHMrchRo9sWDJs3f389T/dr+oj33936Sv/0btj0Ia7nkfRF55WcTnJYVUIsHMTd9n/CMffdn7O7q6yExFeeSBDSe958jRL9B95PoXXZcVldHx21ls6+aUqfMITmoHZ6TUT8eRL3Ko80NM75/Gq9O2bHzRf9PV+2UuSKmcVqd595hr92m/sVZ0BQfn70nTVyMy7a2kPKURkz1WzZlgvsP2wi78RVhdLkRRxBv0Y59Vo0RcXnpalwGQtNqJxo5LmwdzCcYH1/JN7x/Zb9Gifh/bcz+mYhq/KYZoSCNEtTUndYrMLdQwZQxhTRn55u8Pctfm72LzfZeyTCVTqSkivjT5bAklW6IYzOAfTaAqKo2Ly1EUldGJBM8NDXNkUqs7no7nkZMFlKxGwP5cVx/ZfA9GSxiPI0R+7yT3PD1AXiji8UxiMOTo312DUhIQRJli1omggqoqdCw+jaE5CxBUhap4GJPp5NKWvdyLd7YM5wHMqPkEAgKGeDXx6Ta2p6AkRshaZjCZDOhNCg9wNQ/JF+ILbGJq6g88+JNfkuwVeGjgIeA4UZhITpz0va8Vb7T30TWqqlarqqpXVbVOVdVfzV5/QlXVeaqqNquq+t9/RbuvSVIo+tKknpuiFMkR2asdMKWpNIqisHViK5fcdzGP/upHXP/wJ3l48GEACpMaoZDjxyWFrX1Btg+GjiW36u7tJpk6zrFu7/Pz7tt30bPxl0SCPccOGSb2kbxN89QdGtGIjc65jwsfWI+syM+Pkc8bInyqPE1pVgdb8GfYaPgSn5QeJZmaJherIT65DPfEuXhMWfRSCXdyGaakxv0b0jXac0Urhee2c+POLZjkEm0zo+QM2ib96p23csNDv0d4BQFML4TO7ea0//w6AtA21U3WYOK3piV0WNr57kc/TSrvJ20UWORXuNbfRjFdhmwMYJetuExpcI7iNuRRCpOkHSIX2ceRdEVURaBubRidYOCXjgo+25/jN7feRtiUJWOR+P139hCZFf9j8QMkYxMkgtljumGAUinJ1NQ9BANaISF8ndDzKAxvecXj82f8oMLVQ5dxSK2gODmJHDtRoozlYsfUS2MjYyxZsgFJGWJ09DYGBm864V5VlYlGOolFj6CqJxqKd/zsduZYB5BEhYsr0nzmaDNLERHKf00qvo9SKUlm5BCqqpJ0xpCtPvLuo+TtY4i2aVRFAikHJQP6bDkqUDTrSF9RjSzqqY9qnj7DVVpa9OW1r1xV+DwknZ7LPvpZ2gdGcaaTmmdN8zLyRhPeRISI0UIm5yCf1fala2ASSjOM6EIssR0EYI5xmpyznwlXJ40X3MhZVbvIz8RYdbiatKyyz6b10xHMYVBH0Ctx3jf2XibHA9z/nf10bBgjvmGUwI8PEhrU5qJpuSaF3vp4H594+Db6pzSGLx0vELqjm9gjQ/zi8C84595zyJayTAQiBBJWalb8moq1P0GIFrivlGPMrFJVPUAuZ8E8vozYsFaiNJfVPLSyZZVM1DRyZud23v/0vXjzGUTx5Eeow+PFkYwiyTKDjnIKpRRRIYX3ifUEdl9BMqFJGbn8IQw2jWBNqzXEcXHP/lsBqPSM0pycT3nPAn77+/0cymp9essShTcrTPM0MXjTEwMMbBsh1Pgwkn2M7uFD7O7fzfqJ8+ndtJV5AzMM9z0JaOojxaLSb7yNdHqY3FAMnS+NrKhEMwXGYmPcd/e9/OL+W1FVlaeeeopN9/6CucIMi3Z9kU88/THOv/98vvzsl2F8J6mSFkgW8gcw6yUkyzDRfIibNhwglMrzv1/8HEfLCnS5dBRCGlem+NJUqxnWiEdA9pMIN3B4eDFEm7SBKTpawm0YEprJxpjSDMeOw1m+s2OC5wy1rBk6RMuMFtjWMD3BuXU12M78y1HMJ0PNshVIIpT19YCqsq9mAQ8sPZunTlnLH9ecwZ3nOHj4TAeSIU0+nkQwRrGLeQRRISLZ+eayCF8rjxNokkiXaWqXaJ8HoytFRVkr9WmJIgpppRNmVR6yycfDPzxIJlngtn0/JrNQ0z6O9Oxh565ziEb3Egw+g6oWyBf8TKaDfGs6S04wkB9NIyeP65pLBZmNv+/kOw9282TvYXpjU4zOlqmcSc/QnK8jQoZJqwCingfv33aC19SnN32aTz7zSaLpAj3D3ThdAVyuMXwzjzE98xi7JjYwMPBtisU0Nzy0AUHMIYg5njv8xxO+ozS0GXF2fDlTiCIK/x4Y4pJUFJ0wO265k4io4C/TJANVl2d84a9BkZCmTuV3XMdAbj6HXTquOd3Cuz/zcQZcqxFUhXl+jfmZcXuR5BLLWk5eM+Pl0Lj2LMwlmcpAAFcuxUjtHHRyiaU9e1EkiZTBRDSvHXaFpB6l5MORK2dDRHMq8KhmSvoUVe5R9NYIXoef3l3fJG8fYfTM/0d17QbixiDtSFj1WoCc1TtA9jCYKnbS27ODnv5JdjkE6A6hWiTMsoJegLGJBLLOh7moSUGZeJ7iTJrEeICfHvopBjnCrp1n8+1f/ZSp0gJwTqJafWyszLO7zsBXVpYhuDIE/M20e84lc7QJfayeyWwlCiKTTe0U9QaWdXfjKGSx2h0v/ZFm4fBWIKoqZYkIMYudabeFd621c0eDhZzBDyktUDRrmUJnz5LHQFQspygYccna0Wz3jHKRspLW4EoeShXp0F0EiJhTHeQjvX/VHP4lvHJ9wZsIgiC8HXh7S0vLX/V8rvcAJSVDebdCuuY5wq0PYQss58jBAlPJKcqVcgzWcuafonGVPdu+hmSuJ7uwi6R5iEDwSUwPrubiZISw5CfZu5VbBu/GxVzSAzM8uWU701O/YPWqfpR95xDJf4RT9M/h1CnsG91PRjePI6nTgShqKsqV66rYFCyQAu7cs5+Zrgdoj6YJii5UQWTSlqQsmsWmd9GRu5b5nns4IorkCpo7aSbu5Rt8m7XJbuo9CQK9BULhemwpI3brenTPbWHnNcux5rPMm5lCTsZgOazo7abqm99Ecrz84n456AwGrjyvDuP4Fh71TzBpsTN3WBOZNy0/FUXUJJBcWReJtImHGy7mk3ZN8vkZ19PvbaGcIA+1OrCkyrkiVUND+gIeEma494oreXxHhn6xH4drAkWWEEUFe3kPM0fauX/LUW61fZpV3t2sNyYY6NmLs3Gcg4c+hMlUCQiAyiPTo/w056Gp4nzWHViMkB4gVO8AUSVnTTCwPcyU1c/9qZ9hrPg0GcsiDq5bij/j54L0aUQpIooikncBz23YRf36RZw6p5Vtk9s4HDoMwC93dmOYTSlxa92/sCq1myuEu3ho27/z9poEvTMG7Ic3w2yaIekHt9Mf+hPNd99BV1zBsNjE83JO2BAibzAyz9HIMoNCriShU23Ijn6OKnXYbB04SyZUsYDqGqMweiYz6VaeEt5GHhvxViNBo0DcYOaXtVcyJxHAmU2jVxWKko6ViRmc7pV/1XyLBgOSx0N9JIg1lyVicVAbDeKd1ohOXG8gONqIIIUopnWIhiCVybls9hzBxDIemnceF+7bTbtNY3TivkVQ+QRKSw+CMYbTGmIoZ6Fx8EPEJU1VUlU5wJndF9J3/o0kx+bzW8PXebjOwGd6c2RjA6iPCDQbRTZl84hGP6aShbR1FG/lGD55KZaIHVOVgTZzHrUU4uIFTzE63caTlouYoRprWRpRcRMwm9iprqMqpJATSywTryJz0MPXzi7jklwMv6cSVJW3LVTZLjZgLyt72W9ldbsRRBF7Mkq8rJJtq1cTt9jYsqCVy7P7UVWZUk4kXhbFXEjjp+rYs3qrZhfMOUew1GxiodjADmszCAKXTn2I8+t/wvT2b9N42Z1/1Ty+7By/7i3+DfBa1UfJo31kZwbQGf1k5j8AQM4xSmo8QmJWPVTuPu4gNV28B/2695JZrYn8oeB+5HCOhDRDu26GxIbr0O/SqLasczDScweNjYcwGjOsbOkgpV7CCneU91gt3Nz9FTYdnM9ETuPuDWL1TI0cAAAgAElEQVSOpqkC7xi8mladxK1rf8TncytxL1qBKmjT01sRwpcZ0vpSWMdQScsCUsooFEWJAcXCoDCfo7kViMUH6fUfxddlo8M2yIq275MJeQjbXXiTUSRVxREP84GHfsN7n33qNRGE51G/qI0KcYazJgeYqahj+5IV6OUSiihRlshgy5V4tGYum90XslG6hOdqZPqYT4/QzjXcyffk61mj7OIe65mEkmvw5tp5lrNJ6w30OpNMW0fwVowRj1VjSFdTXq5xnY+MjlIUDPiFKry1W1DVKeS8hVS4mUxmCrtB88PvDmj1HW6vuwZVlUh0h9nwxNNs2P5zpme+jyAWWZCuxJF0kMy48Mkq45k8PeJa5qWWoggqaXJIc05lobiXHz/wDXaM72Dqq1/hwk6Rs+IrOG1bCKcpRQIHk/o6joht6AQ4Pa2pNnSxP1LnjKLOxjrFl9ViXvxZ0vuOcs+mQbIVw1giWp3kdHkXnPUN/Cvuw90iE/S1IfoXkHX3k57cgtE+jSU6H1OiCVURGe8+m8Npba2MCw302QXO85eY7x9EESSaIj4EVaVK0CSkDy47eT3mVwLjvFbm19bizGqc/MLJYTwxTe3TU93AJteZdA6vJjmnmcQcPSNNZyCpH2IvpzJurmDS7cVeNkUqUUFFz7UgKIjlg/immkklPajuQRolEbteU8WK5QPIhgSCqGCtGmLEKiKoKj9dYCJSmSdJFqMkU2YexiKGEEsTeBY9jm3lvXxwjYubTtHxb/3vZW2uEVmWsDr9lC/6Lns4nZ2cyYDDhCcVx6akmJAbmCnVcMSYxmOq4YjHgiKKhLy1zDg9eNIJCt4qFEnCYrG87HcSRQm7pxxXLETcZKWrZREAE+XVJGw6BEEgn/aS8gQJWcbxycfjhBJ6CygiqlQgN+8BPCvuJG+blR4sWibjfGHRa5rHk/b7DWn1TY5nxr0csS8g1PIAklRiONBKyRRlXtaNeZb7NjoNDNFC99hKVEEh0HYX+UaBvaU1BGJdjFgFxiwgSTIDHg/zQ7MTJAiUl4+iZt1MTCzCWuUjVrcFUVQQzBHsDj8p1cXSdz6Na3WRO9/9WR6uKNGouvhacj2CKLOlbCPD1cdVHN01kxQu+iUlQwKnZGEALc11r30evzn9EnZXaIszJOp5IlxGQdUEQEvXHrIdHUzW1BA32/DEtIAisZBjbedeqtwvz+m8YrgbAHi/fz+iLOMvr6RtqIvG4DSffPYuPlNj50hrG5tqLwZgxFHkcfUd2NU060pb6epczwcSj6EisKN0Dv6MwJCgGcmPKkHqF2xAFGVGRpdiiDeguINcUDeN4tGkkBlqMLXuw2UbJZoxM/HM9fTd/zO6H7sCQbAzldfUQf22OXS6JOySgK2qRFlVPw7rdnSNW0jrY6wdeR9Bp+aBdcWmO0ja17O/XFM1uj0TRM6YYUHjR5gXb+XoffdQN1PFhSY9b68fxVW5B5sxxQgasR+nAQUBq1ezRRmscTwLo+RiDvIZM/HqEIoA+55IYxzZStE6gzE4H7FgQ6rdjyBAovY5xJyFx/PXc2P5xyiZYpSf1YPRFsEaasc78C6S+95DJh4lYtXmctRcT1ov0ZqQWXxgO5Kq0BCYQlfKUVmKoVeKrK9+5fEoL4X6W2+l6bv/Q0spAqrKmoN7MOezWLIphmub2Ne4iN9d9hF8lY2ImQSDlXUEylYzjOYWnVxYwOqcQY604M3XYphagqrCtH8hyZlqrI4gNy4S+ZT91/yHejPfMnyOUJmm8pTMBcZscPF0D858iY7mBoZ1U0i6As3Jaq7dWU95+TgNjYd4NHUdEaGMLreKGm7HVTaJfuo0CnEH7tYEU9QhCzqGLBV4MjFqhEkmSnPZNn8Fty9tICDEeaBMsxclHW6yOgPlmShjaSOZTOZlq9U9D0d5BZ5okJJOx9HqRozFAqogMOrRbDrJggOLJU7MMklAPq7Si+HGGmkDQJ/xIluD+Kyz9kZPHEHWUci3vqZ5PBn+TxKF1lPLyBiPoNbsZ3pqAWGfNhk1+iLlaSsKcG9zE18XvstTtrcTCdcRq+zkO8p/cov+S3RIbdywWOLuxYuprB7APS+LWHecyhuNaUzpakYnF6DIEqHW+zU3UVUg5T1Ic30XisPPE8svIWVzMulNU7fyDyRso1oDljBDjhKCquBWooxYTOjsWcate6gz55nv0gK+B81VyJLE9kaNGy3ozUQsHkIV9Tx95mVElRK/fuoJdq5agyKKVPrGcCklxHwWS76Ivqbm9fmgs1HS7TVHWDZ+CIA5k0NceHQvq+jgX80TLOk/iIqAWU0zbrJwVGincXqCnoPnkUp56N80B28oyGAmyab8wWNNh2tGMJoTHD1yNul0GZGxNhBlJk69kYBHM5anBRsFRwahLIg+Br2e37PI9yeysSLRGSMhvLSqvehlmafmZJB1GXJyCr1ZM1a7GnbR7e4ja65FnTUc+k1ajYHd5Zrtp67+KPGWB4nqAlitUZqWP07iLCOl9hI65wT+tt9gsIcYQVtLOcFMgComXPXcWPoe6eD5CIYiuUgN6bQTqzVGXMgQtCkst2u+9r1D4xTTdkSpSDHrwNV5KtX7P0FfrZ0hk5Nx/3xuafkyQ6E2XJPnYo7OR92jUjAGSc/GHMiSxhA4kjNUKSof3PE45kwes5zmYv8W/iW2HafhtWmNRbMZ0Wjkk4taeX/HZk7p1jz3rjzwJ87d/hjXPX031nyWbfNOIZ9OUJJ0RKwO/EIVklrkkHQKI+NLYOI0rJJA/OD5dHWehxwooHbJCIJKh0eknBD2oky3sJSdVRphT2InrtehJpJcmNzJmKOWyTMeRvD0Yy46WGt7N/baBAX0PGk+F50q45fKMDuHkAwZyhOt5KLNTIu1yMLx71BT8lHNFH5dJQG7m5DdwRFxDN+sJJ0xmEiYrdTl/YxEZXK53F+UFACcFVUsGT2CPZsmbbLQNjGgZU8tr0EoFchk7RgMOYy2ENNqPeaiZnCO4WZvupJf+W7gvuC3mcwuIarX1rvqzKJP1DI696XzLr1WvCWJwmt1SV21to05zb9CLhkZH19MMaWpofI1nVRVRHlm4SqerZwPQFhfxsDAqTzh/x5HJO2giOHGZy0RsdoJl1nJYeTx0xqYs2w3hZoMMZOTfnUpj7RdwnSwDVUqYkzOwRRvJlnRgVAWZLqwkB3CWVjVJH6Ti2TddnJOzWvCZogxY7ZSWYoyJz1OLwt5gKs47BrifuNuAg4TKcVBxKi5fkat2uIsiiJSqcTeU87iUNtqnjr7csIGE3JR4zBOq6/mo5//AnMbmvGksuhrXxvHeAyzkoKQGOMjsd00jPfzvjWrQC7xtPksOn79H7x9yz18/dYbac/2cZRFZAUz7lSW7KyniqyTsGQm6JpTxual7XiLYQRVIVMlExpZTTyu6VsPjw2g3DmXrKhn2OBhjqrZL/xCFaouT1PqdN62rZey/i1Y02NkEg5CeKljgrbUNFuqVIbP+A+2eqv5fuXnKGDA7Z5iPn6m7FrKBUmRkXUaF9hZZqAkgM0WZpd4Bl9atxK7V+MeixUguIrsKZ7Ox/gNn6/4Fts5C0nVXIuHaOaXfIo+fTO/ET6CafcHSO1dSTrrwWxJsLUsz/Vne+mpdYIiMh0okkxqh0I21EpmVwVBqZ2ARUQRBJ4MrmdAWMDvlOtAFXlGd5gj8wsUnTK5P/ceU1WGi90oNjvGfA5FlLDKKT49eDs3mF86RuKvwdLVZ/Nfl74NeybHQqeNL6b/yDlHtuIZ6+fa7U8QszvpXHii7eICniIl2Hmy8A6yqp2iAGNCnHi8GmN4mrSvSLzoJKG3cTab+NLE0+jVPAedmgQ/XdIksapUlLM8vwVgQGhGbn4Mr+tJoi1HEF2jdOZXkNPpWT8b5BWuH0MFeovzGI5VMDabJNJa0hiDOYxSzTQZnYWCTociinQ5CoRtmqQYNVoo6A3My4+SmU3m+EokhdOvupb3fuVGPmjUnqmbHmXlSCeTnkrCRgvZjLb+zeYU00IF3sA4BjXPUdr5/pwPs61yAffPdXGzeLyaQNCcJzRTZFXtK0tm+GrxliQKr9Wm8OD4/yIvTDM1uQCydoJGD6FUFYnaHYwvsjNcUcvFgU2sUneT1NuYNFVzb+VcFvjGkGSZhFxBXNI4swOOZRxlMTucy9noOI+7my7nLsM1dOpamXa6eUB4J34q6cpdwNeNX+RbzmtJlB9mg3wukqrwDu6nJOjxiVXorRrH6HD7mBGrqUoncMwkiQoeHhTeQ0d5OwubD/Ld+g9yC18ibj7R1zylk9DHIgzWNmFUFQ4tWkXI6mDaaEBQFN71jndhdbm58pvfwVFbh2XFKa9tIp6H0QZWTVq5/MLLeGBNO+suvZxLzl4HqsoG8TyyehviqafRVj6PrKBtpud9521yCpPHgt8+RtpSQd+cJupiPhxqnPF0C2ODS4+9qn/hUr56+WeYlBtRBInT5F0A+BSNwAmFRnrXnE1s/WdYowQYG19GXHBTTpA12UHCgpchowef20VI8vJk/jJEUaW81k+8TY9TiTFXHgXAmw1TkCSilWYkSeYI7aT0NlJe7QC+bc5l3G26mnuF92IjhZ0EPqGW5XQgqjJ38QEmhTmsSU2w06tnn/lczEWBdMaFKCo80KRtv+5yPUq0nO1r38VN1V9DQSSecrJpkZM/lR93gR6u0tQFA5VN3O3xM6YLIZutlIxmRF0RQ0HjpsuScdbV1fCp5hmcaW1NWZXZSl9zX9+s9KYFC2jdto1LvvElKk1pPOYM+nyOS5/QAumG52jMFaqKoCpcyb2szh5hV3M7XzyzjVvmG4nrUuhyObyBKBm9nqGkJm3VM0YsbaGVfo4aNRtfIKPFRFSbD+NQ4xiLBQYy7TzgbuPw+Smk9vtwuKfpKK1BkmXWzMYXDTTl2VS4hM+eMo9ecSGjchN6Jc/imQMAtDv34S2dmKCvq6qWoiRhKOSJzVaqW5LvPVbP+pVICo7yCmrmLeDquTVctW8Ty8KDfHnq11gzabrr5xGNVBMd0c4xn+imKhHCWYpxSFhBUdBz1f4ttPon8ZuOB8nFJRuJoI5M5IW5Rl8fvCWJwmuFozCJnBGZml5Ihb/In5av487ivyDMnMLjyuXMV49ygfIU5WqAhNHK0epGDKUSpw91YS3IxCPnURL06NUCB6RV9BTbAdgqXEBGsuKninFV4zD2VrbzeeFWbqi8mCMWL50sJ21U2G1czcJQlAU5zUA9pmicS7FgQDAr+KjBHIuzYCrAe3c8QXupky2us/DVwbDUQr/YQsxiR5JnA3JUlazJTH9FNQW9gc/rcqCqjDs9pJ1e5uhF3C5NshBNJpo3PIXjoot43eBpAWc90sJLqF2g2VdWn7eexppqinoT+Yo6fOksjqJGTCVFoW2iD1M2S43gxyynac1qXGxJ0uENZDClVGaKdfgtJUqzRvf+mkZGy2vYL2vRr0vzQwiqynihGT+VfLaxhZsvvILN9S7s9aeTsGvEwkuApWoHgipzgFUkbNqG3qC7DCU1B0/tKAPmFlrpZa6oSR9X6v+IoVTgSI3GnY4Vtd8pczV5xcAR/TyeEt7OjL6KS+WHeS+/AWAevVQr00QFD2erz/CV4Q7agjl+1G4j3FpLJuVinDn0lc1BUGX6pUamok4Oz2lm0lBHN4sJ5wz4bS621tgxzUp6054qzIUctlyGXy2qwlu0Y06EQZHBLDA37sOWilMbnOTCf/kw5R/4JVd96l8x+kZZ/nxJk9eZKADoKyvAox3kZ9SHWJWIY8vlqU9HCJdph9nciJ+aog8LGb724M00Baax5bNs9UrkjQKWZJKGiCb5T+S1OJt6xhkvFphX6mecBn6vXMdGQzt6tUC1vZ98zkZ9usSUUMefeDePSlegKDokSaZX10ZNPEIkGcShxukxtHKf7irtO7q89KSWUx72s+zAfj6m/IRq2ziOtOYVZynlERWZo9UNADSPHk/a15CfpqFOswe8EknheTQ1NfGhC87lY1efxjJDPxcd2sNATSO68WHGNlbTteMs0nobp9JNmawxS95UAGcuTXPwuHSnUwvEcaFmr6Z5xZpXPVevBP8niYJ6tJ19ey6FvEBckino9AyY5rEz8EEikodLeISysknKSlFkSWKirAJvMopBLmEp5BiwabrIpXSQE8w8K5yDUTkeUh/Ey7TeRWUiTUN4hvO7D/LzvWluPBBBFUQe5p2kJBv1/mEKB89AVBQGCgsIU8bNpS/TxyJkQYc1k0cSROqm6njf2B8pCAb+h68AUBL0FHR62kZ6QVWpiwZQJB0RVy3GYoGVooonHSdkdTFZ08Byj+uN/ahvvwWuvRfEE4PgFrZrpQplu/Z+X6fGmTWEIqx5di/nT/tweKtIYePTUtux584Y6sOWyxC0u/nj2ks4XN+CVCrhd2gc2z5pNZJaoiqbwpbLcEg4hW+o32HU4UURJZ6rMnNo/I+EzZqnRpkcxmoeYy5jHGYZcZ2TpWoHcZ2VTZkr2GQ5l4Tg5AP7yjD3VyEpMu3CQc5OPUuvvZUjpcVMiRq32ptbSlfwNBRBQlAVzMUiS+KdnMpOvtD5I85SNnFuZguXZh7lw9yOKuv59n33o1dK/KqtEX3aztPqxejVAuerGxhnLluLl5ExaiqS+7Lv4+HqC3hoxdnM2O1c88Q9iLKMIkpURoKc09dBzGLnmcY63nbZ5VQGxkiY7TQwxdVP/pb3J48fIjWtC/jyz35Buz0A5fPB9gZlFjY5weqlsrGF5gUagViQ0BgeazrJ+u7dXNn3NOIRC7YdaW781U9YOjnIjEXiSH0rG5eeiqWgoBNFgqVaLGoKNxGKRRPzkn2ogsiT0tsZNjdRiQ9nTZJsxkFrSsBv95IRrPiFaiKjpxFSygmYPNRFZ8gXLdSrY+wTTiUl2jAXcoy7K/HZvZRnMuBqYnlSI5imuIKgqixNHaWmlCWvN9AwM0bdzNixYdbmAixs09a03W5/xZ9HFEWWL1+OrkZTQZ8xNUhRrydVUQcIBM2aY4VJNSDktWM5Jx+gppDmtD2zRYpUlbJEgslkM9FsOYXcG5Oc8y1JFF5zmguTkyI2Fu/bQ2+TFkCSsNh5qMGOLZdhuXIAvb6Aq6S1nzGa8aTj6FQRYymDz6IdfEvSWnaOlN5GQzDIpaHNXKQ+hizombTZqApkuGzfs7SExyDeR3tQi0LcwNswFnLURnyEC+BJZRiRW3mueB6Hrct4AI2jmesvYU7XUG7UM39kmE9xCyUklo0fT/OwtvsQV+97htP92sIdqanHlUnRcbCD6liY4Zq5RKw23l7xBhMF73yofLGLXPuq1QglTcdusViwxLTaBAuGj2LJZlnwsY9hbz2DLGaG/QJ6RaapmOO0pzfSMD1OQacHQWDcXYGQL5Ewa9yZX1dJBX7kghFPKo7PVIWUE3j3/q2sCBeYdJdztEIgadIkAncxjmgJ00L/Mc+mc3ma9miUu8pO5RGu4LTsIU6PVXO2L8W1e55GiTh4p/kPONUovxU+SkFnQFAVhtX5jJa0GJnPcjPXbh+FmQICcLr/WZzBEs2+Gc5NPIuISjZewipkWTLew5S7HJc7xw5hHaexnQWZARAEdte3Y5Zl1gztZ9jSxHhZFed27uS67Y9z7ZaNuJMa9zjHN0lL1y5WdW5nV/N8uuYv55O330nA5KW6GOKTi1Jcds37T5gDUaeHikUw/+LXfdpPwLn/CWdcj/uz/4nndA+LCprHkDMZxZiMIqW8LC//PALQ3GinPqLFIWxvXcqheUv4wfs+ztjVn6W7fjX1jCMAxaKJ081+Pq7+hB/GbuE90yHW8ySSroQx5qI1LSCLwrEuFPN1BAY+D0BtNAgIvCv9GJepD/LRzj00B6YIOtyUJB1Ns++PhDUnkXzKyanhPt7t38iKCo35uK7Oiy2tucYalALlOlixajXXXXcdHo/n1X+jSo3xWRkeQV8sILbouLK+i0yNxnDE1Lm4Vc24LeYPs27NEtqPdmPJpLDms1gLBVKSjaxl+oQkgK8n3pJE4bXaFC69/DKso0fIyzn2LlqALa3pbaecTlYEYkg5bbLrg75jz5Sn4rTJczAX/izJ1rCZuTmNcJQlo5wxPcIpaPlnZFGkWTyMI3E++pKbQ/px9LoncGcSlAQ9F1S5uaqtkrKZdhqn4oyb6tmZPheAfmEhFqHEdY4xLjAOsfz69WQTVk5lJ9/zf5GV8T9gm9URN0xP4sqmqZl1L/V7vHjVEuFwmKbZDJS2UpHzyl57PMJfA6PFik1QQZE5/7zzMBULXCYWeGd4GutZ67CuPQN7haYuiMaSXGqRuK6hGoMgUDc+eqwdv7OMaZdGwIXZVCDVTJEqGDltchdX79/Ie/ZtYkGmn/kz0yTMNmYqG4ibrehKJeylHKI+RwvHi/vUMMnH/vgDSqKONf4DnLXhPgZSuzEJOaz5HPnJFdgNCc5SNzGl09RQDcEQcYuJUUMLoiqztNRB1USAXETzDJFqs5zRN8OMbx6ZtIti0UA0EME/18NC3yhlOZmvLb6GvGDiPDaytKsHQVWI2R382/gdfNH3GOt2b+Dn//VF1h7Zg0FVEJcvx1bQDKIN/mF0qTgXbnuc0y0GvjowxVg2T0TnoLIQprbei6vqJVJYfHQznPf113t6T8SKD8K89RhbW6n4ycMsrNfiIRqsJs5YuYIPf+zjuK75EPM+IFK5WGB+/1GsOU1lM3fiENtWnMp9NjdBwUYTg+RkAb+tk3JbNevYSnOmwBeOqpzH0wDkU0YaZ2sdOwsqzoLC3rJy+mwOLEWFsnQC0Qrrms/gI5P9nBayUR3XmBJ7Nk1zKceFZ5+F13sZZtOZRP9/e+ceHmV1JvDfO9dMkskkM5P7/colEALhEm4B5U4FqaJCveC91W1tt9bVlura23a1retaa7u71nV1e6G1tvXWR+nWVdtuwUpRoUBBQSGGcAsEQshlcvaP82WYxEkIITMYOL/nmSfffOd88715v/Od95z3nPOepmxu3fwknzj6OotyspjsS+L66bVccZPeDCe78zC2pCB2u52ioqLB6cjthUAZQcdGavZs5qmii1g562G2B4sQpVAHD1GdmkyWy8lzi+6nYu4lJCKMfOdt8vbV4+lo47gzgd+MK+LXW2IT6mJYrmg+U36++Y/8bMm1XPjK8xzwpjPntWd4efrH6LLZWfh+K67sQtrZT4WcjE8TOHaEkZ1jKDx0kK3WOzf54BaaP1jCeyWQfuwwthNBMiyjADCrbR35kxsov+guvvvIw7zgHEHmkUM0JaZwWW4WVaOuYtdjN1ObEmT9qOuoTzs5mFTpTaT89vtAdYHNzivufDr5K6U7P+DKO15i37Y9PLf/CKNSvLwLFBUXgV4kSr415XB2TgbPAPNCJ0iwnz37P3lcFTve/Avjqqvp6Oykunocrql6wFBESE7WA+aJiYk8UjsOEaF+3jxy9+mWXFnjbnZk5rOubAx2FCWN77M9u5gs1UBTq4dAphv7rhO0AalpXrzHtgKl1KelszOYzbjtW7DnJgIHKbeMgk2FyO7cS+72Jp79/A00jq7BnbYXV+KvuDTXRdr2KjYeG48t621KW/djLT+gdquNnRnwdqCETPaiWl20H/8Nzbu90NjE2JYWnIRw0k59/Uj27S0l+8Q+WgqySTnRxbc2f8CakmZSC1Ipbd5O1i7FPZseIi/NxpKl2eybeStTvnwnzs4TtIV0D8t+440kvq9nPBW278J35Bj5TS0sGVNC3Z+3cdsW3XPMajsAiX2s8ne4hv7B9kdSgFG1V8P6rUwZM5YLSuaHk+zlU7HteJnJbyUxfsJUjrs9OPc/wF2/zmd+xetsnfcl3g39lOYuqLb9BbfnCjj6Oo42H47QCdxtIdrcdgJHT5BoxZAa29SOqwte8Y8ludPOmCOd2IDKEWOprLyUPY8l4rOnM6JjI2tVFyNDu1m+fDklJfrBNjTMJxT6NxJog+xxLMv0syxTN7RGFxTCns3kSAdknNnCPwCu+BH+6udZ5s5lXYuH5uR8dgIprS3YlWJFTpB7KirCA9pF3/gn5j7xfUJ2O1tmTOOvOcVsz8pn4+7dwBDI04th2VM4UwJdrexOL+DphZ/A1d7GggNvUdz4Ad6Woxzc9DipgfEAZM6YT1BsOJWiMrSXvI4vULZZV/p2FWKp7TWWvLuHokMHST96GFtrEH9XE3Z0S7awrYFpxQHSM4LMnL+EsWxj2f7/YVqSnVlpXnAlsfifr+bzn7mBJGuv14QWPc+/ypsCImEffWmxntqXdDwXm9PJLQWZfKUsl0k//A+uueYaasacdN2UJmvfdO3okTwxtph7L6iNg1b7ZubyFVz3tfuw2+1MmTIFt9uNuFyIS1dUBQUFVFdXc/PNN4dfhPTbPsOymdNZ3HGUmTveIqG9jfqMLOYHUxlt17GA2ndl0N48ltsuuY3UbD1QP27prVQkOElpbmJ90UiaPcks2Ps+dpvuKQU6D5DU0UrOiQPUbDrEtvIqPO1ttBWVc+HUPKbXjcceKKHMsRl7ZyLb/zaN9PpmHG3vIqFmRh5oIO9AB512B7ldezjR7MTXnoJ0rmTEjztxFS3ke51L6bAlICHB19BCszeZPaEOirw5zK6bxBOXXMnXynNJcmSSpY4ze8M6anzZsOAbpBWWgYID3kQ627SV33m0meQTuoda6nNRs6uRHHcihUkJfLYwk3VHdC8io/0gJAbj92BPQVmim2tyAlzU23VZUIucOMio6XupXv8rpr76Y7InTuXj/3I3Senp1NS/QlN7O00hYdbxVhKS9LN1tPuwSyOJrfr9ymppIL2ljazODma3wPKWLva5A7yblMqEJsUF+bXMnTVXXxtsglce4PILJpO69x4WFRwNGwSAtLQ03G43GSOmQM11PcQNuBzYBXJzR8Olj525YjJGwszbuWbSPBAyQ90AABIxSURBVLbMGKPrAgivEM/JyQm/BwCpixeR5Pdj6+ygwqvLfrbDxoNXzT1zWaJwXhqF+ZOWMDbJzdFkH6O3b2TK2HweSITbN/8eu91OVr7ekcrlTqfc56HKl8Qnyw7g6voA/1HtLgq6XNhu38qYUBc3bdyCsyuEs8uNsy2DDJt22+SfaIAU3a2YN62GSwLv8LkjP+bpmlHhlrujaiEJBVXMTdKte8+RNSTbFHX+noNYKcWTCH7TQbpNzx4Zn5LITfl60LCkpIR098mW4IzyUubMmUNRURHzgz4y3c5YqXJISEhIYNmyZaSmnqw8XEVFFHzyJq5NULg7O7j65Wd55Nmf8OiYIiZlaPdeVWcal1++khRPCiW5upeVn5dHerqfOX94jla3B4dSrLr7ThwOaz1ERwKfSjrM9fueJ6Etle9kzuGwK4lQ9US48hew5CEIlFHofoPacj1g61OtJB96DO/Bf8fjOMC0LdqA+3YfpH2Th+lHD1H75uMk+4/iKKnjYbmS1sRsMjs7STnSRJPfT1tnJ9VLp5I0Wa+38PmqmTrlRfzTpmH3peAqLgL0No7JDicfpCYjnR047HY2bNhA+b49pDQ9x4jxSwBwWFvR/n1hJk+OLeaG3CDTZt0I41bG9mGdBnYR7h+RT6XVSAlTMBUAz6xLCNSMxlGewYMX/isU1OqW+M5XWd8grN1np6KjA49PN3gcJ/w4pJHkYyFczgB5V9/Pb489yYtlfm5eWMlFS6sY26LDwVQfDjFxbDXdLuakSROwp0LpqGncWXUpF5cu7iFSQkICd955JxUrvg6jLvrQ//F3+RlcmhUA+9A5V2wipDodXJypy73v+DG8Xm/UAWyvP4DD5Wb8vBsB+ObIwn4jtJ4Jw9J9dKYB8USE1WW5XPf2Tr6TtY0RM66HrLFUHZ1FU8PH8QeKyMq8mIB/Jg8GclAAjem4Ujop9+vWW7rbBd4snLnpeBv1ua1eN5mZX6VMAhw40k5W20HwRvh386eAIyFqwfr6xHEsO3yU1rybuLi0CnuvWTzuUaNw7bbhubkq6v+U4rBjFwgpGB1IIyNn5qB081Gj27VU2nyI2tQ07CKsmj6VlNdeY/lNl2Gz9FRbW0thYSEej4dkXypl721j/KY/UVk7HZ/TgTsxQHsIUMncMX0RTJwBHV9m8gsNrPR+he9XVp58LpXLsB1rpGb8Bfzu0Z+T6Q/i7FgHHe+RnLmAil0dXHvCzZUdf6W07kKaOo/B88/jKStEKhZwzbRmqrIrGfEvd/P2Ud36KywspLy8V1gCtxfbdU9Temkztog576neFI4dPojDZiMzK4v6+nomVhQzpuIEGa2lvM9JoyAizAv6mBf0AZfF8lEMHZmVsPRhGLGIW5J69WzSR8COtXx6/2FC3iwESM6oZZz7h7Svd+KyPUrJXgf5lz2Nx5PHJx+5sMfldzf/jm91tlHjysBtRUMG8M6di3eubllfN6ZnT6Cb/irZL5UO0er/KCwO+vhnVwOlHcfJ7WNB6cjpsygYU830jDTeTPXGtKE3LI2CUupZ4NmJEyf2v+tJP8z2p7Cjrgq7PBA+5/Gm4LHC4VZW6vOF3YnJ6YhA4WS9kCrd8tsn143D+5Re9LJwVjm1E2vZ8v4+PEfewE5XT6Ow6D7ojL4bVLrLyaIMP2RcEjXdXVxM4ZNP4KmujppuEyHN4aAl1BWW7Vygu9Xkr6sjY8ECAJwuF5fPmdMjn8/nC7cKPVZogrm/f46bVmh9epKCtDeDw2XFe3J7we3l/uXpfKwqixllEVM1M0bBkgdxd4X4VOlD+KZeRdL6TbR0tOCrGEfDrgN8IsHL2Jv/G4Cu5FcIHW3G9aXvg93OFxfpF/v4bZ+h5YUX2OZ0snDhwh4ugUh6ByX0Z2Sx5/BBgqkBlq1cSSgUCv9vbTv1GopuozAsEYEJV0dPs3z21Z0CtZ+HTb8Ap4dgcDbq9hB8+0rE7cfhyYt6eV2SUPeXW+D6FyHVHav/YEjxOR1snFZJfWFqn2sfJixaGj6Odc//3Kk9BoG9j5c0KtaK3YziKVAPQavi9VRlUNBVxbpfb8fj0d3kWwsyuPXgQbC7ITViO2p3sv4MksRJk/pN9zsdBF30WfkMR7qNQlJ6Oo60tFPk1iSmnJyVFt5CMjGdI83g8fTcPtFuEy4c2cc2pDY7wat/CID/LT8tHS0EginAATzeky9m8qxZJM+a9WE5amoYV1NDlVKn9UyChcXwt81kZeeGe0rdOKxpkI6MvreBHNak632dCZTCxOv0x0KcdkgOQkI/M+m6B4JTC/vO8xFERMjLi27o4s15bRROi5EXQct+Uktm4GvcSmGCboWICDlFeTgcDtIjW29VK6BoBngGVpENBXMCXjxncZZRLEixWtG9K8f+8HitHoM3BYdTV96BQAENeyEzY3Cby/gT/DS2NJKRo/2/KUHPKa44yeka6bwZs5C1z1Ey48OGxp6SQvY3vkHS9Gmn9ZvDhnQrLEagD9dw0Qxw9qP7Cau0YUk5/Z3lDBpjFAZKUhDq7kCAlyZWhHsKoGcurF69uufLb3eEA8XFi38sG6IAdx8hEhMTWbVqFTmnEdG1u6eQHBEa3OnSlXnvnsJA8Sf4SXWnklOWyoq7JxPIHXyP71SkjxzF3/3nGtyJ0V0JqZdGdzGeE7i9UH0VlPcxs2bJg6e4PhnK5vSfx9AvxigMgkLPh32V55LL5qNGcXHxaeXvHlNI8p9ccepyagPhcg3OF7+8YjlTsnWsmVgahG76MgjnBcu+d7YlOK8ZlkbhTGcfGc5tXJ5E7A5Hj55CUlIFlaMfID19fj9X9k1dXt1QiWcwfKQZlg7oMw1zYTi3ERHqrrqBqrkLe5zLyroYuxXy3GAwRGdY9hQMhlMxYdGSsy2CwTAsGZY9BYPBYDDEBmMUDAaDwRDGGAWDwWAwhDFGwWAwGAxhjFEwGAwGQxhjFAwGg8EQZlgahTPdo9lgMBgM0RmWRsEsXjMYDIbYIEqpsy3DoBGR/cB7p3FJEDgQI3HOFCPb4DCyDQ4j2+A4V2QrVEpFDQQ2rI3C6SIif1ZKTTzbckTDyDY4jGyDw8g2OM4H2Yal+8hgMBgMscEYBYPBYDCEOd+Mwr+fbQH6wcg2OIxsg8PINjjOednOqzEFg8FgMPTP+dZTMBgMBkM/GKNgMBgMhjDnnFEQkctEZLOIdInIxF5pXxSRHSKyTUQW9HF9sYiss/KtERFXjORcIyIbrc8uEdnYR75dIvK2le/PsZAlyj3vFZH6CPkW95FvoaXLHSJyV5xk+5aIbBWRt0TklyKS2ke+uOntVHoQEbf1vHdYZasolvJE3DdfRF4Wkb9a78Rno+SZLSJHIp71PfGQzbp3v89INA9ZentLRCbESa4REfrYKCLNIvK5XnnipjcReUxE9onIpohzfhFZKyLbrb9pfVy7ysqzXURWDeiGSqlz6gOMAkYA/wtMjDg/GngTcAPFwDuAPcr1PwNWWMc/AG6Jg8zfAe7pI20XEIyzDu8FvnCKPHZLhyWAy9Lt6DjINh9wWMf3AfedTb0NRA/ArcAPrOMVwJo4PcdsYIJ17AX+FkW22cBz8SxfA31GwGLgN4AAtcC6syCjHdiLXux1VvQG1AETgE0R5+4H7rKO74r2HgB+4F3rb5p1nHaq+51zPQWl1Bal1LYoSRcDP1VKtSmldgI7gMmRGUREgAuBp6xT/wUsi6W81j0vB34Sy/vEgMnADqXUu0qpduCnaB3HFKXUS0qpTuvrn4C8WN/zFAxEDxejyxLosjXHeu4xRSnVoJTaYB0fBbYAubG+7xByMfCE0vwJSBWR7DjLMAd4Ryl1OpEThhSl1KvAoV6nI8tUX/XUAmCtUuqQUqoJWAssjJKvB+ecUeiHXGB3xPc9fPgFCQCHIyqdaHmGmplAo1Jqex/pCnhJRN4QkZtjLEskn7a67I/10TUdiD5jzfXolmQ04qW3geghnMcqW0fQZS1uWC6r8cC6KMlTReRNEfmNiFTGUaxTPaOPQhlbQd8NtrOlN4BMpVSDdbwXyIySZ1D6c5y5bPFHRH4LZEVJWq2U+nW85emLAcq5kv57CTOUUvUikgGsFZGtVsshZrIB3we+hn5pv4Z2b11/pvccCtm69SYiq4FO4Ed9/ExM9DYcEZFk4BfA55RSzb2SN6BdI8essaNfAeVxEu0j/Yys8cSlwBejJJ9NvfVAKaVEZMjWFgxLo6CUmjuIy+qB/Ijveda5SA6iu6gOq0UXLc+AOZWcIuIALgFq+vmNeuvvPhH5JdpdccYvzkB1KCL/ATwXJWkg+hwUA9DbtcBFwBxlOU+j/EZM9BaFgeihO88e65n70GUt5oiIE20QfqSUerp3eqSRUEq9ICKPiEhQKRXzoG8DeEYxK2MDZBGwQSnV2DvhbOrNolFEspVSDZZLbV+UPPXosY9u8tBjrf1yPrmPngFWWDNBitFWfX1kBquCeRlYbp1aBcSy5zEX2KqU2hMtUUSSRMTbfYweZN0ULe9Q0stv+/E+7vk6UC56tpYL3c1+Jg6yLQT+AViqlDreR5546m0gengGXZZAl63f9WXMhhJr3OKHwBal1AN95MnqHt8QkcnoOiHmBmuAz+gZ4BprFlItcCTCZRIP+uzFny29RRBZpvqqp14E5otImuUCnm+d6594jJ7H84OuxPYAbUAj8GJE2mr0TJFtwKKI8y8AOdZxCdpY7AB+DrhjKOvjwKd6ncsBXoiQ5U3rsxntPomHDp8E3gbesgpfdm/ZrO+L0TNa3omjbDvQftKN1ucHvWWLt96i6QH4KtpwASRYZWmHVbZK4qSrGWgX4FsR+loMfKq73AGftnT0JnrgflqcZIv6jHrJJsD3LL2+TcRswjjIl4Su5H0R586K3tCGqQHosOq2G9BjUv8DbAd+C/itvBOBRyOuvd4qdzuA6wZyPxPmwmAwGAxhzif3kcFgMBhOgTEKBoPBYAhjjILBYDAYwhijYDAYDIYwxigYDAaDIYwxCoZhiYiEekWyLDrbMg0FInKtiOwXkUet77NFRInIjRF5qq1zX7C+Py4iy3v9zrF+7uGxdNYuIsFY/S+G4cmwXNFsMACtSqnqaAnWoiJRSnXFWaahYo1S6tMR3zehgyY+an1fiZ4fPyiUUq1AtYjsGrSEhnMW01MwnBOISJHoPQ2eQFei+SJyh4i8bgX2+0pE3tUi8jcR+b2I/CSixf2/Yu3BISLB7kpTROyi93Ho/q1PWudnW9c8JXqPhx9FrHKdJCJ/tAKmrRcRr4i8KiLVEXL8XkTGDeDfew9IEJFM6/cX0ncgwN56+WpEb6peRP5zINcZzl9MT8EwXPHIyY2JdgJ/jw5dskop9ScRmW99n4xeGfuMiNQBLehQFNXo8r8BeOMU97oBHWJhkoi4gT+IyEtW2nigEvgA+AMwXUTWA2uAK5RSr4tICtCKDjlxLfA5EakAEpRSA23xPwVcBvzFkrmtV/q3ROTLvS9SSt0D3CN6M6LXgIcHeD/DeYoxCobhSg/3kTWm8J7ScfdBx3mZj65EAZLRRsIL/FJZcZNEZCDxmuYDVRF+e5/1W+3AemXFrrKMVBE6NHaDUup1OBk8TUR+DtwtInegww88fhr/78/QhmYkOuzBtF7pdyiluvcB6TGmYPUu/ht4QCl1KgNoOM8xRsFwLtEScSzAN5VS/xaZQXptq9iLTk66VBN6/dZnlFI9gomJyGx6tthD9PNOKaWOi8ha9AYpl9NPdNwo1+4VkQ5gHvBZPmwU+uNeYI9SyriODKfEjCkYzlVeBK4XvZcAIpIrOm7/q8AyawaOF1gScc0uTlbUy3v91i2iw1AjIhVWZM++2AZki8gkK79XdMhs0IPFDwGvK70b1ulwD3CnUio00AtEZAk6Gu9tp3kvw3mK6SkYzkmUUi+JyCjg/6yx32PAVUqpDSKyBj17Zx869HU33wZ+JnoXsOcjzj+KdgttsFwx++lnm1alVLuIXAF8V0Q86PGEucAxpdQbItIMnHarXSn1x9O9Bvg8eret9ZYenrHGGQyGqJgoqYbzGhG5F11ZfztO98tBb3QyMtqUWdEbCE3sNSU1VrLssu4Vr41hDMMA4z4yGOKEiFyD3iN5dT9rKFqBRd2L12IkR/fMLScwXNdyGGKE6SkYDAaDIYzpKRgMBoMhjDEKBoPBYAhjjILBYDAYwhijYDAYDIYwxigYDAaDIcz/A/Lbqu8lywGJAAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "from bifrost.ndarray import copy_array\n",
        "\n",
        "data_gpu = bifrost.ndarray(shape=(ntime//nchan, nchan, ninput),\n",
        "                           dtype=numpy.complex64,\n",
        "                           space='cuda')\n",
        "fdata = bifrost.ndarray(shape=data_gpu.shape, dtype=data_gpu.dtype,\n",
        "                        space='cuda')\n",
        "spectra_gpu = bifrost.ndarray(shape=(1,nchan,ninput), dtype=numpy.float32,\n",
        "                              space='cuda')\n",
        "spectra_cpu = bifrost.ndarray(shape=(1,nchan,ninput), dtype=numpy.float32,\n",
        "                              space='system')\n",
        "\n",
        "fft = bifrost.fft.Fft()\n",
        "fft.init(data_gpu, fdata, axes=1, apply_fftshift=True)\n",
        "\n",
        "for gulp in range(5):\n",
        "    t, data_noise = make_data(ntime, ninput)\n",
        "    data_noise = bifrost.ndarray(data_noise, space='system')\n",
        "    \n",
        "    data_gpu = data_gpu.reshape(ntime,ninput)\n",
        "    copy_array(data_gpu, data_noise)\n",
        "    data_gpu = data_gpu.reshape(-1,nchan,ninput)\n",
        "    \n",
        "    fft.execute(data_gpu, fdata)\n",
        "    \n",
        "    bifrost.reduce(fdata, spectra_gpu, 'pwrmean')\n",
        "\n",
        "    copy_array(spectra_cpu, spectra_gpu)\n",
        "    \n",
        "    freq = numpy.fft.fftfreq(nchan, d=1/19.6e6)\n",
        "    bf_freq = numpy.fft.fftshift(freq)\n",
        "    pylab.semilogy(bf_freq/1e6, spectra_cpu[0,:,ninput-1],\n",
        "                   label=f\"{ninput-1}@{gulp}\")\n",
        "    pylab.semilogy(bf_freq/1e6, spectra_cpu[0,:,0],\n",
        "                  label=f\"0@{gulp}\")\n",
        "pylab.xlabel('Frequency [MHz]')\n",
        "pylab.ylabel('Power')\n",
        "pylab.legend(loc=0)\n",
        "\n",
        "del data_gpu\n",
        "del fdata\n",
        "del spectra_gpu\n",
        "del spectra_cpu\n",
        "del fft"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "04c8036a",
      "metadata": {
        "id": "04c8036a"
      },
      "source": [
        "This works well if you have a fixed channelization or integration time.  For pipelines where those parameters could change an alternative to pre-initilization is to wrap the data copies and FFT initialization in `try...except NameError` blocks:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "id": "299a81ed",
      "metadata": {
        "id": "299a81ed",
        "outputId": "18cb8c81-ac93-4055-aae4-bee6bb2a9d60",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "from bifrost.ndarray import copy_array\n",
        "\n",
        "for gulp in range(5):\n",
        "    t, data_noise = make_data(ntime, ninput)\n",
        "    data_noise = bifrost.ndarray(data_noise, space='system')\n",
        "    \n",
        "    try:\n",
        "        data_gpu = data_gpu.reshape(*data_noise.shape)\n",
        "        copy_array(data_gpu, data_noise)\n",
        "    except NameError:\n",
        "        data_gpu = data_noise.copy(space='cuda')\n",
        "    data_gpu = data_gpu.reshape(-1,nchan,ninput)\n",
        "    \n",
        "    try:\n",
        "        fft.execute(data_gpu, fdata)\n",
        "    except NameError:\n",
        "        fdata = bifrost.ndarray(shape=data_gpu.shape,\n",
        "                                dtype=data_gpu.dtype,\n",
        "                                space='cuda')\n",
        "        \n",
        "        fft = bifrost.fft.Fft()\n",
        "        fft.init(data_gpu, fdata, axes=1, apply_fftshift=True)\n",
        "        fft.execute(data_gpu, fdata)\n",
        "        \n",
        "    try:\n",
        "        bifrost.reduce(fdata, spectra_gpu, 'pwrmean')\n",
        "    except NameError:\n",
        "        spectra_gpu = bifrost.ndarray(shape=(1,nchan,ninput),\n",
        "                                      dtype=numpy.float32,\n",
        "                                      space='cuda')\n",
        "        \n",
        "        bifrost.reduce(fdata, spectra_gpu, 'pwrmean')\n",
        "        \n",
        "    try:\n",
        "        copy_array(spectra_cpu, spectra_gpu)\n",
        "    except NameError:\n",
        "        spectra_cpu = spectra_gpu.copy(space='system')\n",
        "        \n",
        "    freq = numpy.fft.fftfreq(nchan, d=1/19.6e6)\n",
        "    bf_freq = numpy.fft.fftshift(freq)\n",
        "    pylab.semilogy(bf_freq/1e6, spectra_cpu[0,:,ninput-1],\n",
        "                   label=f\"{ninput-1}@{gulp}\")\n",
        "    pylab.semilogy(bf_freq/1e6, spectra_cpu[0,:,0],\n",
        "                  label=f\"0@{gulp}\")\n",
        "pylab.xlabel('Frequency [MHz]')\n",
        "pylab.ylabel('Power')\n",
        "pylab.legend(loc=0)\n",
        "\n",
        "del fft\n",
        "del data_gpu\n",
        "del fdata\n",
        "del spectra_gpu\n",
        "del spectra_cpu"
      ]
    },
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        "This structure allows you to initialize each array on the GPU only once and then reuse it as needed.  The only catch is that you need to cleanup after you are done processing gulps.  Otherwise, you can run into dimension mis-matches if the channel count or integration time changes.\n",
        "\n",
        "These two examples are what are called \"blocks\" in Bifrost terminology and represent \"atomic units\" of data processing.  In the next section we will look at how Bifrost joins blocks together to build a pipeline."
      ]
    }
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